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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-26-14245-2026</article-id><title-group><article-title>Non-monotonic response of net dust deposition  kinetics to low wind speeds</article-title><alt-title>Non-monotonic response of net dust deposition kinetics to low wind speeds</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2">
          <name><surname>Jia</surname><given-names>Ruochen</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ba</surname><given-names>Chaoqun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Zhang</surname><given-names>Chao</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Kuang</surname><given-names>Wennong</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Liu</surname><given-names>Yuan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Wang</surname><given-names>Zhigang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Liu</surname><given-names>Fang</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Xin</surname><given-names>Zhiming</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Liu</surname><given-names>Yuting</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ma</surname><given-names>Qun</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Zong</surname><given-names>Lu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Liang</surname><given-names>Wei</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff8">
          <name><surname>Qian</surname><given-names>Jianqiang</given-names></name>
          <email>jq.qian@henau.edu.cn</email>
        <ext-link>https://orcid.org/0009-0008-1176-7852</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Liu</surname><given-names>Zhimin</given-names></name>
          <email>zmliu@iae.ac.cn</email>
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Applied Ecology, Chinese Academy of Sciences, Shenyang 110016, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>University of Chinese Academy of Sciences, Beijing 100049, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Hebei Minzu Normal University, Chengde 067000, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Inner Mongolia University of Finance and Economics, Hohhot 010070, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Beijing Forestry University, Beijing 100083, China</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Experimental Center of Desert Forestry, Chinese Academy of Forestry, Dengkou 015200, China</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Wuhan Botanical Garden, Chinese Academy of Sciences, Wuhan 430074, China</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Henan Agricultural University, Zhengzhou 450046, China</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Jianqiang Qian (jq.qian@henau.edu.cn) and Zhimin Liu (zmliu@iae.ac.cn)</corresp></author-notes><pub-date><day>12</day><month>October</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>19</issue>
      <fpage>14245</fpage><lpage>14258</lpage>
      <history>
        <date date-type="received"><day>17</day><month>January</month><year>2026</year></date>
           <date date-type="rev-request"><day>26</day><month>May</month><year>2026</year></date>
           <date date-type="rev-recd"><day>7</day><month>August</month><year>2026</year></date>
           <date date-type="accepted"><day>20</day><month>September</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Ruochen Jia et al.</copyright-statement>
        <copyright-year>2026</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://acp.copernicus.org/articles/26/14245/2026/acp-26-14245-2026.html">This article is available from https://acp.copernicus.org/articles/26/14245/2026/acp-26-14245-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/14245/2026/acp-26-14245-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/14245/2026/acp-26-14245-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e253">Dry deposition is a major sink for mineral dust, yet its behavior under weak winds remains poorly constrained and is often parameterized monotonically with wind speed. Here we quantify size-resolved dust net accumulation kinetics in a closed-circuit recirculating wind tunnel using a two-stage protocol (brief high-wind loading followed by low-wind deposition at 0, 2, 4, and 6 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Cumulative retained-mass time series were measured with an array of collection trays, with the initial suspended dust loading recorded by an online concentration monitor. Particle sizes were characterized by laser diffraction and grouped into six diameter-threshold classes (<inline-formula><mml:math id="M2" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M3" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). A first-order kinetic model described the temporal accumulation dynamics and yielded a fitted asymptotic retained mass (<inline-formula><mml:math id="M4" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>), effective net-accumulation rate coefficient (<inline-formula><mml:math id="M5" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>), characteristic time scale (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula>), and initial net accumulation flux (<inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula>). The observed <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was highest at 2 <inline-formula><mml:math id="M9" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M10" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M11" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and 4 <inline-formula><mml:math id="M12" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M13" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M14" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, while <inline-formula><mml:math id="M15" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> declined markedly at 6 <inline-formula><mml:math id="M16" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the lower diameter thresholds. Quadratic fits across the four wind-speed levels suggest a potential maximum near 2–3 <inline-formula><mml:math id="M17" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M18" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M19" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. These measurements quantify the size-dependent response of effective surface retention to low wind speeds and provide benchmark behavior for coupled deposition, retention, and re-entrainment parameterizations.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Natural Science Foundation of Inner Mongolia Autonomous Region</funding-source>
<award-id>2024LHMS03039</award-id>
</award-group>
<award-group id="gs2">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>32401668</award-id>
</award-group>
<award-group id="gs3">
<funding-source>National Natural Science Foundation of China</funding-source>
<award-id>42377458</award-id>
</award-group>
<award-group id="gs4">
<funding-source>Postdoctoral Science Foundation of Jiangsu Province</funding-source>
<award-id>2024M753463</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d2e510">Mineral dust plays a pivotal role in the climate system, terrestrial ecosystems, and human health. It perturbs the atmospheric radiation balance and influences cloud–precipitation processes by scattering and absorbing radiation and acting as cloud condensation nuclei (Kok et al., 2023). Concurrently, it serves as a vital source of long-range nutrient fluxes to both terrestrial and marine ecosystems (Jickells et al., 2005; Mahowald et al., 2010). The atmospheric lifetime and spatial distribution of dust are predominantly governed by dry and wet deposition processes (Tegen and Fung, 1994; Wu et al., 2020a, b). Under large-scale circulation, strong wind episodes produce brief bursts of high dust emission, injecting large amounts of mineral particles into the lower atmosphere over short time scales (Shao, 2008; Kok et al., 2014). As storms subside and near-surface winds transition to a more typical low-speed background state, elevated dust concentrations can persist, making dry deposition the dominant process controlling the final transport distance and atmospheric residence time of particles (Wu et al., 2020a, b; Kok et al., 2021; Mostamandi et al., 2023). Consequently, accurately quantifying deposition efficiency during this post-storm, low-wind phase is crucial for linking source-region emissions to downwind climatic and ecological impacts (Mahowald et al., 2010; Kok et al., 2023).</p>
      <p id="d2e513">Over recent decades, most models have simulated dry deposition using a framework that conceptualizes the process as “gravitational settling plus two resistances in series”, in which an aerodynamic resistance and a canopy/surface resistance describe stepwise transfer of particles from the free atmosphere to the underlying surface, allowing for the computation of size-dependent deposition velocities (Slinn, 1982; Wesely, 1989; Gallagher et al., 2002; Petroff and Zhang, 2010). Within this framework, particles in the 1–10 <inline-formula><mml:math id="M20" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> range are typically considered the least efficiently deposited, associated with the longest transport distances and identified as a critically sensitive size fraction in climate models (Petroff and Zhang, 2010; Zhang and Shao, 2014; Kok et al., 2023). However, a growing body of size-resolved flux observations and model intercomparisons reveals that predicted deposition rates for 0.1–10 <inline-formula><mml:math id="M21" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> particles can vary by more than an order of magnitude across dry deposition schemes (Zhang and He, 2014; Bergametti et al., 2018; Emerson et al., 2020). These substantial uncertainties propagate directly into estimates of global dust budgets and radiative forcing (Emerson et al., 2020; Kok et al., 2023). Recent systematic evaluations of numerical weather prediction and chemical transport models further demonstrate that differences in dry deposition parameterizations alone can induce systematic biases in simulated dust loads and surface concentrations, even when using identical wind fields and emission sources (Saylor et al., 2019; Zeng et al., 2020; Kong et al., 2025).</p>
      <p id="d2e536">Model uncertainties are especially acute under low-wind, weakly turbulent conditions. Both field measurements via eddy-covariance systems and controlled wind-tunnel experiments indicate that for typical background winds (about 2–6 <inline-formula><mml:math id="M22" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), dry deposition fluxes do not exhibit a straightforward, monotonic relationship with wind speed. Instead, fluxes appear more sensitive to near-surface turbulence intensity and the particle size distribution (Bergametti et al., 2018; Waza et al., 2019). Furthermore, different samplers and models frequently yield divergent deposition rates at identical wind speeds, and existing schemes often fail to accurately replicate measured deposition fluxes for coarse particles (Petroff and Zhang, 2010; Bergametti et al., 2018; Waza et al., 2019). This evidence highlights the limitations of using a single monotonic wind-speed dependence to represent net surface fluxes measured under different turbulence, surface, and sampler conditions (Zhang and He, 2014; Emerson et al., 2020).</p>
      <p id="d2e556">In contrast to the extensive research on emission and saltation mechanisms during strong winds, the subsequent deposition phase following dust storms has received comparatively less attention. Conventional models often assume that surface dust fluxes decay rapidly to zero once wind speeds fall below the resuspension threshold. This assumption overlooks the potential for complex interactions among aggregation, resuspension, and gravitational settling in weakly turbulent flows (Shao, 2008; Kok et al., 2012). From an aeolian physics perspective, however, a low-wind environment does not signify dynamical quiescence. The post-dust-storm period, characterized by background winds modulated by large-scale circulation and boundary-layer friction, is a common atmospheric state. During this phase, the near-surface turbulent structure remains a key controller of momentum and scalar vertical exchange. Surface properties, such as roughness, soil moisture, and vegetation structure, collectively set the thresholds for dust emission, rebound, and resuspension (Fécan et al., 1999; Shao, 2008; Kok et al., 2012). As wind speed increases from calm conditions, turbulent fluctuations play a dual role: they help maintain particle suspension, delaying settling, while simultaneously enhancing near-surface transport and particle–surface contacts, which can promote both deposition and rebound. At higher wind speeds exceeding the resuspension threshold, saltation and splash processes begin to dominate surface fluxes, potentially inhibiting settling or even reversing net deposition (Shao et al., 1993; Shao, 2008; Kok et al., 2012; Zhang and Shao, 2014). This mechanistic reasoning suggests the potential existence of a “low-wind window”, a specific wind speed range in which effective near-surface retention reaches a local maximum, outperforming both calm and stronger wind conditions. Deposition-only parameterizations, however, do not explicitly represent such a response when stable retention and subsequent particle loss are considered together (Petroff and Zhang, 2010; Zhang and He, 2014).</p>
      <p id="d2e560">Insights from two-phase flow and hydrodynamics provide further mechanistic support. In suspensions with weak to moderate shear and relatively high particle concentrations, inter-particle collisions and adhesion can induce aggregation, effectively altering the settling size spectrum (Maggi et al., 2007; Mietta et al., 2009; Zhao et al., 2023; Yu et al., 2022; Penlou et al., 2023). Experiments and numerical simulations consistently show that for fine-particle systems, moderate turbulent shear can significantly enhance bulk settling rates, whereas stronger shear suppresses settling through aggregate breakup and flow dilution (Penlou et al., 2023; Yu et al., 2022). The mean size of particle clusters often exhibits a non-monotonic dependence on shear intensity, peaking at an intermediate level. Recent detailed simulations of cohesive sediment confirm that, within certain parameter ranges, intermediate turbulence intensities can produce the largest flocs, directly illustrating the competition between shear-enhanced aggregation and turbulence-induced breakup (Maggi et al., 2007; Mietta et al., 2009; Zhao et al., 2023). These findings imply that in the post-storm atmosphere, where near-surface dust concentrations remain high and wind speeds are low to moderate, turbulence may assume a dual function: it maintains particle suspension and enhances horizontal transport, while also facilitating dust-dust collisions and aggregation. This interplay could lead to a peaked, nonlinear relationship between net deposition flux and wind speed (Penlou et al., 2023).</p>
      <p id="d2e563">To address this critical knowledge gap, we formulated the hypothesis that dust accumulation under low-wind conditions exhibits a size-resolved non-monotonic dependence on wind speed. This response may reflect enhanced particle delivery and stable retention at moderate shear, followed by reduced retention at higher wind speeds. To test this hypothesis, we conducted a series of controlled experiments in a closed-circuit wind tunnel, quantified size-resolved cumulative retained mass and the temporal evolution of particle size distributions (PSDs) from an agricultural soil dust under calm air and precisely regulated low-wind speeds (0, 2, 4, and 6 <inline-formula><mml:math id="M23" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). An exponential mass-accumulation model was employed to extract key kinetic parameters (e.g. characteristic time constants and effective net-accumulation rate coefficient), which were then systematically correlated with wind speed, particle size, and shifts in PSDs. Our specific objectives were: (1) to determine if an optimal low-wind speed exists for the net accumulation of fine and medium particles (e.g., <inline-formula><mml:math id="M24" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M25" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), (2) to identify whether this optimum coincides with temporal changes in the retained PSDs that may be consistent with particle aggregation, and (3) to quantify the decline in fine-particle retention at higher winds within the tested low-wind range. The findings provide experimental constraints relevant to the representation of effective surface retention in dust transport models.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e607">Experimental setup and wind profiles in the closed-circuit wind tunnel. <bold>(a)</bold> Schematic layout of the vertical recirculating wind tunnel and sampling section. <bold>(b)</bold> Vertical wind-speed profiles measured along the centerline of the test section under nominal approach flows of 2, 4, and 6 <inline-formula><mml:math id="M26" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Symbols show measured values at eight heights, and dashed curves connect the measured values. The shaded band marks the height range (0.05–0.40 <inline-formula><mml:math id="M27" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) used to estimate friction velocity (<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) from a log-linear regression. The corresponding <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values are shown. Boundary-layer thickness (<inline-formula><mml:math id="M30" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>) was defined using the 99 % upper-profile velocity criterion.</p></caption>
        <graphic xlink:href="https://acp.copernicus.org/articles/26/14245/2026/acp-26-14245-2026-f01.png"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Wind-tunnel facility and dust preparation</title>
      <p id="d2e692">Experiments were conducted in a vertical recirculating wind tunnel at the Experimental Center of Desert Forestry, Chinese Academy of Forestry in Dengkou, Inner Mongolia, China (Fig. 1a). This closed-loop facility, modified from a conventional open-circuit design, enables continuous circulation of air and suspended dust, thereby facilitating long-duration observations of suspended-dust evolution and surface accumulation. The test section measures 13 <inline-formula><mml:math id="M31" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> in length, with a cross section of 2 <inline-formula><mml:math id="M32" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (width) <inline-formula><mml:math id="M33" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math id="M34" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> (height). Flow is driven by four axial fans positioned downstream of the test section, allowing for continuous adjustment of the mean wind speed from 0 to 20 <inline-formula><mml:math id="M35" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Upstream of the test section, the flow is conditioned by passing through a diffuser, turning vanes, and a settling chamber equipped with honeycombs and screens, collectively ensuring a uniform approach flow with low turbulence intensity and minimal swirl (Liu et al., 2020). The dust used was sourced from the upper 0–5 <inline-formula><mml:math id="M36" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> of local cropland soil, which was air-dried and dry-sieved to obtain particles smaller than 63 <inline-formula><mml:math id="M37" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Before the wind-tunnel experiments, the sieved dust was further oven-dried at 105 <inline-formula><mml:math id="M38" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 8 <inline-formula><mml:math id="M39" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> to standardize its moisture condition among experimental runs.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Experimental procedure</title>
      <p id="d2e789">The experimental protocol comprised two sequential stages. (i) Strong-wind loading phase: the wind speed was initially set to 14 <inline-formula><mml:math id="M40" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for about 5 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> to erode the soil source, release dust, and establish a recirculating airborne dust load within the closed-circuit tunnel. (ii) Low-wind deposition phase: immediately after the loading phase, the exposed soil source bed was completely covered with steel plates to prevent continued direct emission or re-erosion from the original source. The steel plates remained in place throughout the subsequent low-wind deposition phase. The wind speed was then reduced to a target value of 2, 4 or 6 <inline-formula><mml:math id="M42" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Additional experiments under quiescent conditions (0 <inline-formula><mml:math id="M43" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) were performed in the same test section with the fans deactivated.</p>
      <p id="d2e851">At the beginning of each low-wind experiment, 25 cylindrical acrylic collection trays (radius: 10 <inline-formula><mml:math id="M44" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>, rim height: 3 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula>) were placed at predefined positions on the tunnel floor within the test section. Five trays were assigned to each of the five sampling times (30, 60, 90, 120 and 180 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula>). Each tray was exposed continuously from the beginning of the low-wind phase until its designated sampling time. Five trays were removed at their designated times to obtain the cumulative net deposition sample for a specific wind-speed-time combination, resulting in a progressive reduction in the number of trays remaining in the tunnel. The same initial tray layout, time-specific tray assignments, and retrieval sequence were used for all wind-speed treatments. Thus, the tray configuration at a given sampling time was matched among treatments, although the number of trays decreased progressively within each experimental run.</p>
      <p id="d2e878">No water, glass beads, grease, adhesive, or other material was added to suppress particle rebound or re-entrainment from the tray surface. The collected mass therefore represents cumulative tray-retained net accumulation, which integrates particle arrival at the collection surface and subsequent losses through rebound, local re-entrainment, and removal from the tray.</p>
      <p id="d2e881">A real-time dust concentration monitor (Fig. 1a; TD2000A-CT, Zhonggong Tiandi Technology (Beijing) Co., Ltd., Beijing, China) was operated continuously during both the loading and deposition phases to track the bulk suspended dust mass concentration in the test section. The sampling inlet was located on the longitudinal centreline of the test section, 7.5 <inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> downstream of the test-section entrance and 1 <inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> above the tunnel floor. The instrument had a measurement range of 0–10 000 <inline-formula><mml:math id="M49" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (RS485 output; DC 24 <inline-formula><mml:math id="M50" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">V</mml:mi></mml:mrow></mml:math></inline-formula>). During the loading phase, the monitor was used as a quality-control indicator to obtain comparable initial suspended dust loadings among experimental runs. The concentration recorded at the start of the low-wind phase was defined as the initial airborne dust concentration (<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). The monitor provided a single-point concentration time series at this fixed sampling location; vertical concentration profiles were not measured. For consistency throughout this study, particles of 1–10, 10–20, and 20–63 <inline-formula><mml:math id="M52" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> are referred to as fine, medium-sized, and coarse particles, respectively.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Flow characterization</title>
      <p id="d2e955">Vertical wind speed profiles were measured on the longitudinal centreline of the test section, 9 <inline-formula><mml:math id="M53" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> downstream of the test-section entrance and immediately downstream of the collection-tray array. The complete initial array of 25 trays was present during the profile measurements. The collection trays were arranged in the same fixed layout as in the deposition experiments, with a spacing of 20 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> between adjacent trays, and the same layout was restored before each run. Wind speed was recorded at eight heights (<inline-formula><mml:math id="M55" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M56" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.02, 0.05, 0.10, 0.20, 0.40, 0.80, 1.20, and 1.60 <inline-formula><mml:math id="M57" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) under nominal wind speeds of 2, 4, and 6 <inline-formula><mml:math id="M58" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. 1b). Friction velocity <inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> was estimated from a log-linear regression of the near-surface wind profile,

                <disp-formula specific-use="align" content-type="numbered"><mml:math id="M60" display="block"><mml:mtable displaystyle="true"><mml:mlabeledtr id="Ch1.E1"><mml:mtd><mml:mtext>1</mml:mtext></mml:mtd><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mi>ln⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>z</mml:mi><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>+</mml:mo><mml:mi>B</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr><mml:mlabeledtr id="Ch1.E2"><mml:mtd><mml:mtext>2</mml:mtext></mml:mtd><mml:mtd><mml:mstyle displaystyle="true" class="stylechange"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant="italic">κ</mml:mi><mml:mi>A</mml:mi><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mlabeledtr></mml:mtable></mml:math></disp-formula>

          
          where <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>(</mml:mo><mml:mi>z</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is wind speed at height <inline-formula><mml:math id="M62" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M64" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M65" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M66" display="inline"><mml:mi>A</mml:mi></mml:math></inline-formula> is the fitted slope, <inline-formula><mml:math id="M67" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> is the intercept, and <inline-formula><mml:math id="M68" display="inline"><mml:mi mathvariant="italic">κ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M69" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.4. To ensure consistency among treatments, the regression was fitted over the common height interval of 0.05–0.40 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, which is above the tray rim height (0.03 <inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) and below the upper quasi-uniform portion of the profile. Therefore, the measurements at 0.80, 1.20, and 1.60 <inline-formula><mml:math id="M72" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> were not included in the <inline-formula><mml:math id="M73" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula> regression. The resulting profile-derived apparent friction velocities were 0.063, 0.089, and 0.154 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the 2, 4, and 6 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> treatments, respectively, with corresponding <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> values of 0.921, 0.933, and 0.883.</p>
      <p id="d2e1255">The boundary-layer thickness (<inline-formula><mml:math id="M77" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>) was defined as the first height at which the shape-preserving interpolated profile reached 0.99 <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> was the mean wind speed at 0.80, 1.20, and 1.60 <inline-formula><mml:math id="M80" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. Minor reversals in the measured profiles were first removed using isotonic regression before interpolation.</p>
      <p id="d2e1295">The upper edge of the collection trays was positioned at <inline-formula><mml:math id="M81" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M82" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.03 <inline-formula><mml:math id="M83" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, corresponding to approximately 3.4 %, 4.1 %, and 6.3 % of <inline-formula><mml:math id="M84" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>, respectively. Because the profiles were measured after installation of the complete tray array, they incorporated the collective aerodynamic influence of the trays. The profiles characterize the profile-scale mean flow under the complete initial 25-tray configuration. Local flow separation and wakes around individual tray rims, as well as possible changes associated with progressive tray removal, were not resolved.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Sample analysis</title>
      <p id="d2e1335">The mass of dust retained in each tray was determined using an analytical balance with a resolution of 0.0001 <inline-formula><mml:math id="M85" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi></mml:mrow></mml:math></inline-formula>. Particle-size distributions (PSDs) of the deposited dust were analyzed using a laser diffraction particle-size analyzer (Eye Tech, Netherlands). To ensure accuracy and repeatability, the instrument was calibrated before each run using certified reference microspheres (20 <inline-formula><mml:math id="M86" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and 100 <inline-formula><mml:math id="M87" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nm</mml:mi></mml:mrow></mml:math></inline-formula>), requiring agreement between measured and nominal diameters to be within <inline-formula><mml:math id="M88" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 %. Ultrapure water blanks were analyzed to confirm background noise levels were below 0.5 %. A standard suspension was analyzed every 4 <inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> during the measurement; if key parameters like the median diameter (<inline-formula><mml:math id="M90" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) deviated by more than <inline-formula><mml:math id="M91" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 2 %, the instrument was recalibrated. All measurements were performed at a circulation speed of 2000 <inline-formula><mml:math id="M92" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">rpm</mml:mi></mml:mrow></mml:math></inline-formula> in a temperature-controlled laboratory (23 <inline-formula><mml:math id="M93" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M94" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula>). Each tray sample was measured in triplicate, and the average value was used for subsequent analysis. Particle size was reported as a volume-equivalent diameter. Particle morphology, including aspect ratio and sphericity, was not independently characterized, and no shape-dependent correction was applied in the particle-size classification.</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Data processing and kinetic modeling</title>
      <p id="d2e1433">For each wind speed (<inline-formula><mml:math id="M95" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>) and sampling-time (<inline-formula><mml:math id="M96" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula>) combination, the total dust mass retained in each tray was measured and the particle-size distribution (PSD) was recorded. Six cumulative diameter-threshold classes (<inline-formula><mml:math id="M97" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M101" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were defined from the laser-diffraction volume-equivalent diameter as <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi mathvariant="normal">v</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M104" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 2.5, <inline-formula><mml:math id="M105" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 10, <inline-formula><mml:math id="M106" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 20, <inline-formula><mml:math id="M107" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 30, <inline-formula><mml:math id="M108" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 40, and <inline-formula><mml:math id="M109" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 63 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. Throughout this study, the PM labels denote cumulative thresholds of laser-diffraction volume-equivalent diameter. The cumulative retained mass below each diameter threshold was then calculated as the product of the total retained mass and its corresponding cumulative volume fraction, and was then converted to an areal cumulative tray-retained mass <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M112" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) using the known tray area. For each wind-speed-time combination, five replicate trays were processed; results are summarized by the mean across replicates. The standard error of the mean (SEM, <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula>) at each time point was used as the measurement uncertainty for model fitting. Before calculating <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the differential volume fractions of each PSD were normalized to 100 %. <inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was then determined from the cumulative volume distribution by linear interpolation on the logarithmic diameter scale between the two adjacent diameter channels bracketing 50 %.</p>
      <p id="d2e1647">The temporal evolution of <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was represented by a first-order approach to an asymptote,

            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M117" display="block"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          where <inline-formula><mml:math id="M118" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> (<inline-formula><mml:math id="M119" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) is the fitted asymptotic retained mass as <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mi>t</mml:mi><mml:mo>→</mml:mo><mml:mi mathvariant="normal">∞</mml:mi></mml:mrow></mml:math></inline-formula>. <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> is the effective net-accumulation rate coefficient, where larger values indicate a faster approach to the fitted asymptote. The characteristic accumulation timescale was defined as <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mi mathvariant="italic">τ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:mi>h</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, corresponding to the time required for the fitted curve to reach approximately 63 % of <inline-formula><mml:math id="M123" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>. The initial net accumulation flux is defined as the initial slope of <inline-formula><mml:math id="M124" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>,

            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M125" display="block"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mfenced open="" close="|"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>M</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mrow><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e1869">Because <inline-formula><mml:math id="M126" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M127" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M128" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were not normalized by the time-varying concentration <inline-formula><mml:math id="M129" display="inline"><mml:mrow><mml:mi>C</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, they are reported as tray-based net accumulation metrics. To assess whether small differences in initial airborne dust loading affected the wind-speed comparison, a (<inline-formula><mml:math id="M130" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)-normalized sensitivity check was performed by scaling the retained mass with (<inline-formula><mml:math id="M131" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>/<inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), where (<inline-formula><mml:math id="M133" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mtext>ref</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) was the mean recorded initial concentration across the four wind-speed treatments.</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e1966">Exponential fits of cumulative retained mass for different particle-size classes under varying wind speeds: <bold>(a)</bold> <inline-formula><mml:math id="M134" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(b)</bold> <inline-formula><mml:math id="M135" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(c)</bold> <inline-formula><mml:math id="M136" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(d)</bold> <inline-formula><mml:math id="M137" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <bold>(e)</bold> <inline-formula><mml:math id="M138" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and <bold>(f)</bold> <inline-formula><mml:math id="M139" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Symbols represent the mean cumulative retained mass <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M141" display="inline"><mml:mo lspace="0mm">±</mml:mo></mml:math></inline-formula> 1 SEM, <inline-formula><mml:math id="M142" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> trays) at four wind speeds (0, 2, 4 and 6 <inline-formula><mml:math id="M143" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Solid curves show non-linear least-squares fits of the first-order exponential model <inline-formula><mml:math id="M144" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. Legends report the coefficient of determination (<inline-formula><mml:math id="M145" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) and <inline-formula><mml:math id="M146" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> value for each fit.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14245/2026/acp-26-14245-2026-f02.png"/>

        </fig>

      <p id="d2e2169">Model parameters (<inline-formula><mml:math id="M147" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M148" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>) were estimated separately for each wind-speed-size combination by weighted non-linear least squares (NLS), with weights <inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mtext>SEM</mml:mtext><mml:mi>i</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula> applied to the mean at time point <inline-formula><mml:math id="M150" display="inline"><mml:mrow><mml:msub><mml:mi>t</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Positive constraints (<inline-formula><mml:math id="M151" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M152" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0, <inline-formula><mml:math id="M153" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M154" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 0) were enforced. Wald 95 % confidence intervals for <inline-formula><mml:math id="M155" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M156" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> were obtained from the NLS covariance matrix. Uncertainty in the derived metric <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula>, defined by Eq. (4), was propagated by the delta method to yield 95 % CIs (used in Fig. 3b).</p>
      <p id="d2e2283">To quantify wind-speed dependence for each size class, <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was related to <inline-formula><mml:math id="M159" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula> using linear (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>∼</mml:mo><mml:mi>U</mml:mi></mml:mrow></mml:math></inline-formula>) and quadratic (<inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>∼</mml:mo><mml:mi>U</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) models; likelihood-ratio tests (LRTs) and <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mtext>AIC</mml:mtext></mml:mrow></mml:math></inline-formula> were used to evaluate evidence for non-monotonicity. The wind-speed corresponding to the maximum fitted <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> response was summarized by the quadratic vertex <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mtext>opt</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M165" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M166" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, with bootstrap 95 % CIs (10 000 resamples of the four (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) pairs).</p>
      <p id="d2e2422">Many dry-deposition parameterizations describe deposition velocity for a given particle size and surface type as increasing or remaining unchanged with increasing wind speed or friction velocity, while treating resuspension separately. To quantify the departure of the present net-accumulation response from this simplified deposition-only expectation, a non-decreasing reference curve, <inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mtext>mono</mml:mtext></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>U</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> was constructed for each size class by isotonic regression fitted to the four (<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:mi>U</mml:mi><mml:mo>,</mml:mo><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) points. Deviations from the monotonic benchmark were summarized as

            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M170" display="block"><mml:mrow><mml:mi>R</mml:mi><mml:mo>(</mml:mo><mml:mi>U</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>(</mml:mo><mml:mi>U</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mtext>mono</mml:mtext></mml:mrow></mml:msub><mml:mo>(</mml:mo><mml:mi>U</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
      <p id="d2e2510">Here, <inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> indicates that the observed initial net accumulation flux exceeds the non-decreasing benchmark, whereas <inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:mi>R</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> indicates that it falls below the benchmark.</p>
      <p id="d2e2537">All analyses were performed in R (R Core Team, 2024) (base stats for NLS, boot for resampling, ggplot2 for graphics).</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Exponential kinetics of cumulative tray-retained dust accumulation</title>
      <p id="d2e2557">The first-order exponential model (Eq. 3) provided an excellent description of the cumulative tray-retained accumulation kinetics for all wind-speed-size combinations, with coefficients of determination (<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) ranging from 0.889 to 0.992 and 75 % of fits achieving <inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula> (Fig. 2). This result indicates that a single effective timescale adequately characterizes the temporal evolution of dust accumulation under experimental conditions.</p>
      <p id="d2e2586">Under quiescent conditions (0 <inline-formula><mml:math id="M175" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), fine particles (<inline-formula><mml:math id="M176" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M177" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) accumulated slowly, as evidenced by nearly linear cumulative curves, long characteristic times (<inline-formula><mml:math id="M178" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M179" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 4.2 <inline-formula><mml:math id="M180" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M181" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; 1.4 <inline-formula><mml:math id="M182" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M183" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and small rate coefficients (<inline-formula><mml:math id="M184" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M185" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.24 <inline-formula><mml:math id="M186" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M187" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; 0.71 <inline-formula><mml:math id="M188" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M189" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) (Table S2). In contrast, coarse particles (<inline-formula><mml:math id="M190" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M191" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) approached their fitted asymptotes within about 1 <inline-formula><mml:math id="M192" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M193" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M194" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 1 <inline-formula><mml:math id="M195" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M196" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M197" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 600–750 <inline-formula><mml:math id="M198" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), exhibiting behavior dominated by gravitational settling.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e2833">Net accumulation kinetics and initial net accumulation flux as functions of wind speed and particle size. <bold>(a)</bold> Effective net-accumulation rate coefficient <inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi>h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> for each wind-speed-size combination (cell values show <inline-formula><mml:math id="M200" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>). <bold>(b)</bold> Initial net accumulation flux <inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> versus wind speed <inline-formula><mml:math id="M202" display="inline"><mml:mi>U</mml:mi></mml:math></inline-formula>. Points are estimates and error bars are 95 % Wald confidence intervals propagated from the weighted NLS fit of <inline-formula><mml:math id="M203" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M204" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mn mathvariant="normal">0</mml:mn><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M205" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> trays per time point. The curve and shaded band show the quadratic fit <inline-formula><mml:math id="M206" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>∼</mml:mo><mml:mi>U</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mi>U</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> and its 95 % confidence band.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14245/2026/acp-26-14245-2026-f03.png"/>

        </fig>

      <p id="d2e2994">Increasing wind speed from 0 to 2 <inline-formula><mml:math id="M207" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> markedly accelerated early net accumulation across all size classes (Table S2). <inline-formula><mml:math id="M208" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> for <inline-formula><mml:math id="M209" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> shortened from 4.2 to 0.3 <inline-formula><mml:math id="M210" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> (an order-of-magnitude faster approach to the fitted asymptote), while <inline-formula><mml:math id="M211" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> increased from 0.24 to 3 <inline-formula><mml:math id="M212" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Similarly, for <inline-formula><mml:math id="M213" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M214" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>decreased from 1.4 to 0.3 <inline-formula><mml:math id="M215" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M216" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> increased to <inline-formula><mml:math id="M217" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 3 <inline-formula><mml:math id="M218" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">h</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. For medium and coarse particles, <inline-formula><mml:math id="M219" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> also decreased and <inline-formula><mml:math id="M220" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> increased by factors of roughly 2–4, whereas their asymptotic loads a remained of the same order as under still air (typically within approximately 20 % of the 0 <inline-formula><mml:math id="M221" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> values). In contrast, <inline-formula><mml:math id="M222" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> for <inline-formula><mml:math id="M223" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was reduced by roughly one quarter. These changes indicate that 2 <inline-formula><mml:math id="M224" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> produced rapid early tray-retained accumulation, particularly for fine particles, while maintaining substantial retained mass for medium and coarse particles.</p>
      <p id="d2e3184">At 4 <inline-formula><mml:math id="M225" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M226" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> remained short for all size classes (often <inline-formula><mml:math id="M227" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 0.5 <inline-formula><mml:math id="M228" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>), and <inline-formula><mml:math id="M229" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> stayed well above still-air values, indicating a rapid early approach to the fitted asymptote (Table S2). However, the asymptotic retained mass <inline-formula><mml:math id="M230" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> for all sizes fell below their still-air values, decreasing by roughly 25 %–60 %, especially for fine-to-medium particles.</p>
      <p id="d2e3241">At 6 <inline-formula><mml:math id="M231" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the suppression in fine-to-medium tray-retained mass became most pronounced. For <inline-formula><mml:math id="M232" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M233" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M234" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> was reduced by about one order of magnitude relative to still air, indicating near-complete inhibition of effective accumulation despite still-elevated rate coefficients. Accumulation of <inline-formula><mml:math id="M235" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M236" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was also substantially suppressed. In contrast, <inline-formula><mml:math id="M237" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> for the coarsest fractions (<inline-formula><mml:math id="M238" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M239" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) was similar to or slightly higher than under still air, but their kinetics were less favorable than at 2–4 <inline-formula><mml:math id="M240" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with longer <inline-formula><mml:math id="M241" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> and lower <inline-formula><mml:math id="M242" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> compared with the low-wind optimum.</p>
      <p id="d2e3374">The auxiliary screening test identified an apparent critical wind-speed range of 5.87–6.01 <inline-formula><mml:math id="M243" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for marked dust mobilization from the tray surface, placing the 4 <inline-formula><mml:math id="M244" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> treatment below and the 6 <inline-formula><mml:math id="M245" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> treatment close to this range (Fig. S1 in the Supplement).</p>
      <p id="d2e3428">Analysis of characteristic times (Table S2) further shows that for most wind-speed-size combinations, <inline-formula><mml:math id="M246" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> is less than 0.5 <inline-formula><mml:math id="M247" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, indicating rapid mass accumulation during the early part of the experiments. The PSD comparison in Sect. 3.2 therefore uses the cumulative tray-retained samples collected at 0.5 and 3 <inline-formula><mml:math id="M248" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e3454">The concentration records were used to evaluate the comparability of initial airborne dust loading and the persistence of suspended dust during the low-wind phase. The recorded <inline-formula><mml:math id="M249" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> ranged from 178.2 to 191.4 <inline-formula><mml:math id="M250" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with a coefficient of variation of 3.1 % indicating comparable initial airborne dust loading among treatments. After normalizing by <inline-formula><mml:math id="M251" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the mean airborne concentration during the final 20 <inline-formula><mml:math id="M252" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">min</mml:mi></mml:mrow></mml:math></inline-formula> was 5.32 %, 0.15 %, 9.27 %, and 4.24 % of <inline-formula><mml:math id="M253" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> at 0, 2, 4, and 6 <inline-formula><mml:math id="M254" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively (Table S1 in the Supplement). The <inline-formula><mml:math id="M255" display="inline"><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>-based rescaling did not change the principal wind-speed ordering of the net-accumulation response. The 2 <inline-formula><mml:math id="M256" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> treatment showed the lowest late-stage residual concentration, whereas the 4 and 6 <inline-formula><mml:math id="M257" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> treatments maintained higher residual airborne concentrations, especially at 4 <inline-formula><mml:math id="M258" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Fig. S2). This pattern indicates that the lower tray-retained mass at 4–6 <inline-formula><mml:math id="M259" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> was accompanied by greater persistence of suspended dust and reduced effective transfer into stable near-surface retention.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e3615">Comparison of the volume-based particle-size distributions (PSDs) of cumulative tray-retained dust collected at 0.5 and 3 <inline-formula><mml:math id="M260" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> under different wind speeds. The curves show differential volume fractions at the particle-size channels measured by laser diffraction. Solid purple and dashed teal curves represent samples collected at 0.5 and 3 <inline-formula><mml:math id="M261" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, respectively. Filled black circles indicate the modal diameters (“Peak”). Dotted vertical lines mark <inline-formula><mml:math id="M262" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, calculated by log-linear interpolation of the normalized cumulative volume distribution. The red vertical segment marks <inline-formula><mml:math id="M263" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mo>max⁡</mml:mo></mml:mrow></mml:math></inline-formula>, defined as the particle diameter at which the absolute difference in volume fraction between the two sampling times was greatest.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/14245/2026/acp-26-14245-2026-f04.png"/>

        </fig>

      <p id="d2e3661">Figure 3 compares net accumulation dynamics across the parameter space and during the initial stage. Figure 3a illustrates the distribution of the effective net-accumulation rate coefficient <inline-formula><mml:math id="M264" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>. For fine-to-medium particles (<inline-formula><mml:math id="M265" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M266" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M267" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> increased sharply from still air to 2 <inline-formula><mml:math id="M268" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and generally remained high at 4–6 <inline-formula><mml:math id="M269" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, although the wind speed corresponding to the largest <inline-formula><mml:math id="M270" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> varied among size classes. The maximum <inline-formula><mml:math id="M271" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> occurred at 2, 4, 6 <inline-formula><mml:math id="M272" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M273" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M274" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M275" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">20</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively. For <inline-formula><mml:math id="M276" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M277" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, the largest <inline-formula><mml:math id="M278" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> occurred at 4 <inline-formula><mml:math id="M279" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Figure 3b shows that <inline-formula><mml:math id="M280" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was highest at 2 <inline-formula><mml:math id="M281" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> among the tested wind speeds for <inline-formula><mml:math id="M282" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M283" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, and was strongly reduced at 6 <inline-formula><mml:math id="M284" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the fine size classes. Because <inline-formula><mml:math id="M285" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula>, the maximum initial net accumulation flux did not necessarily coincide with the maximum fitted <inline-formula><mml:math id="M286" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>. Quadratic fits across the four wind-speed levels yielded a model-implied peak wind speed (<inline-formula><mml:math id="M287" display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mtext>opt</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) of approximately 2–3 <inline-formula><mml:math id="M288" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for <inline-formula><mml:math id="M289" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M290" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, with bootstrap 95 % confidence intervals typically spanning approximately 2.3–3.3 <inline-formula><mml:math id="M291" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The most pronounced peaked response was found in the PM<sub>30</sub> class, whereas <inline-formula><mml:math id="M293" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> shows weaker evidence (Table S3).</p>
      <p id="d2e4029">Synthesizing Fig. 3a and b, a low-wind window centered near 2 <inline-formula><mml:math id="M294" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (model-inferred optimum around 2–3 <inline-formula><mml:math id="M295" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) combines relatively high effective net-accumulation rate coefficients (Fig. 3a) with the highest observed <inline-formula><mml:math id="M296" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values (Fig. 3b) for <inline-formula><mml:math id="M297" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M298" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>; stronger winds progressively suppress early net accumulation of these sizes and shift the relative contribution toward the coarse fraction.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Temporal evolution of cumulative tray-retained particle-size distributions</title>
      <p id="d2e4107">The particle-size distribution (PSD) of net accumulation dust changed between 0.5 and 3 <inline-formula><mml:math id="M299" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> in a wind-speed-dependent manner (Fig. 4).</p>
      <p id="d2e4118">Under quiescent conditions (0 <inline-formula><mml:math id="M300" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), the cumulative material collected at 0.5 <inline-formula><mml:math id="M301" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> showed a prominent coarse mode, with <inline-formula><mml:math id="M302" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M303" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 13.4 <inline-formula><mml:math id="M304" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, modal diameter <inline-formula><mml:math id="M305" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 40.7 <inline-formula><mml:math id="M306" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. By 3 <inline-formula><mml:math id="M307" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, the relative contribution of particles <inline-formula><mml:math id="M308" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 30 <inline-formula><mml:math id="M309" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> had decreased markedly, while the 10–20 <inline-formula><mml:math id="M310" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> range accounted for a larger fraction of the cumulative retained material (<inline-formula><mml:math id="M311" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M312" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 10.8 <inline-formula><mml:math id="M313" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, modal diameter <inline-formula><mml:math id="M314" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 15.6 <inline-formula><mml:math id="M315" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>). This temporal change is consistent with a gravity-dominated regime which coarse particles deposit first, followed by medium-sized particles.</p>
      <p id="d2e4273">At 2 <inline-formula><mml:math id="M316" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M317" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased from 7.1 <inline-formula><mml:math id="M318" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at 0.5 <inline-formula><mml:math id="M319" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> to 9.8 <inline-formula><mml:math id="M320" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at 3 <inline-formula><mml:math id="M321" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, representing an increase of approximately 38 %. The modal diameter shifted from 4.3 to 18.3 <inline-formula><mml:math id="M322" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, while volume fraction at 18.3 <inline-formula><mml:math id="M323" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> increased from 5.3 % to 8.6 %. These changes indicate progressive enrichment of medium-sized particles in the cumulative retained material under weak shear.</p>
      <p id="d2e4362">At 4 <inline-formula><mml:math id="M324" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the PSDs were nearly identical, both exhibiting a narrow, persistent modal diameter at 4–5 <inline-formula><mml:math id="M325" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M326" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increasing only slightly from 6.3 <inline-formula><mml:math id="M327" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at 0.5 <inline-formula><mml:math id="M328" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> to 7.5 <inline-formula><mml:math id="M329" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at 3 <inline-formula><mml:math id="M330" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. The similarity between the two distributions indicates that the fine-particle-dominated size spectrum was established early and changed moderately during the remainder of the experiment.</p>
      <p id="d2e4441">At 6 <inline-formula><mml:math id="M331" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the cumulative material collected at 0.5 <inline-formula><mml:math id="M332" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> was dominated by 30–40 <inline-formula><mml:math id="M333" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> particles, with <inline-formula><mml:math id="M334" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M335" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 29.3 <inline-formula><mml:math id="M336" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, modal diameter <inline-formula><mml:math id="M337" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 34.6 <inline-formula><mml:math id="M338" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>. At 3 <inline-formula><mml:math id="M339" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M340" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> decreased to 17.9 <inline-formula><mml:math id="M341" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and the modal diameter moved to approximately 29.5 <inline-formula><mml:math id="M342" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, accompanied by a broader contribution from particles in the 10–20 <inline-formula><mml:math id="M343" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> range. This pattern is consistent with a greater early contribution of coarse particles, followed by an increased relative contribution of finer particles in the cumulative retained material.</p>
      <p id="d2e4575">In summary, the cumulative PSDs reveal distinct regimes among wind-speed treatments: gravity-controlled sequential settling in still air; shear-enhanced selective enrichment of fine-medium particles at 2 <inline-formula><mml:math id="M344" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; rapid establishment of a stable, fine-dominated spectrum at 4 <inline-formula><mml:math id="M345" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>; and a large early relative contribution of coarse particles followed by a modest shift to finer sizes at 6 <inline-formula><mml:math id="M346" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Non-monotonic response of dust net accumulation to low wind speeds</title>
      <p id="d2e4645">These large-scale closed-circuit wind tunnel experiments suggest a non-monotonic tendency and size-selective response of near-surface dust deposition to low wind speeds (0–6 <inline-formula><mml:math id="M347" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The first-order exponential model <inline-formula><mml:math id="M348" display="inline"><mml:mrow><mml:mi>M</mml:mi><mml:mo>(</mml:mo><mml:mi>t</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mo>⋅</mml:mo><mml:mo>(</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mi>k</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> captured the cumulative deposition for all size–wind combinations, indicating that net dust deposition can be approximated as a first-order kinetic process governed by a single effective time scale <inline-formula><mml:math id="M349" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>. The rate coefficient <inline-formula><mml:math id="M350" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> and its reciprocal <inline-formula><mml:math id="M351" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> therefore provide robust dynamical metrics for comparing tray-retained accumulation responses across conditions.</p>
      <p id="d2e4725">Kinetic parameters show a consistent pattern. Deposition in still air is slow and largely controlled by gravitational settling. The introduction of weak turbulence at 2 <inline-formula><mml:math id="M352" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> significantly accelerates early net accumulation of fine-to-medium particles without substantially reducing the asymptotic retained mass of medium-to-coarse particles, creating a distinct low-wind “window” for rapid and efficient dust accumulation. Quadratic fits of the initial net accumulation flux <inline-formula><mml:math id="M353" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>a</mml:mi><mml:mi>k</mml:mi></mml:mrow></mml:math></inline-formula> indicate a low-wind optimum at <inline-formula><mml:math id="M354" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 2–3 <inline-formula><mml:math id="M355" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, with the strongest response at the experimental level of 2 <inline-formula><mml:math id="M356" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e4803">Size-resolved PSD evolution further elucidates the size-selective nature of this response. In still air, the cumulative retained spectrum evolves sequentially from coarse to finer particles. Under weak shear (2 <inline-formula><mml:math id="M357" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), <inline-formula><mml:math id="M358" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> increased from 7.1 to 9.8 <inline-formula><mml:math id="M359" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> and the relative contribution near 18.3 <inline-formula><mml:math id="M360" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> increased, suggesting that weak turbulence not only accelerates fine-particle deposition but also facilitates their effective “coarsening” during settling, potentially involving aggregation. In contrast, at higher wind speeds (4–6 <inline-formula><mml:math id="M361" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), the deposition spectrum is rapidly stabilized after an initial removal phase, entering a quasi-steady state with limited additional tray-retained accumulation and a gradual spectral shift back toward finer sizes, reflecting the strong suppression of net deposition for fine-to-medium particles.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Potential mechanisms underlying the observed accumulation patterns</title>
<sec id="Ch1.S4.SS2.SSS1">
  <label>4.2.1</label><title>Roles of turbulent mixing and gravitational settling</title>
      <p id="d2e4886">For the respirable fine particles (2–10 <inline-formula><mml:math id="M362" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) central to this study, gravitational settling velocities (<inline-formula><mml:math id="M363" display="inline"><mml:mrow><mml:msub><mml:mi>w</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) estimated using the Stokes–Cunningham relationship and a representative mineral-particle density of 2650 <inline-formula><mml:math id="M364" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">kg</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, are approximately 0.35–8.1 <inline-formula><mml:math id="M365" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Their ability to penetrate the thin viscous sublayer adjacent to the surface depends critically on the efficiency of turbulent diffusion, expressed by the magnitude of the turbulent diffusive flux <inline-formula><mml:math id="M366" display="inline"><mml:mover accent="true"><mml:mrow><mml:msup><mml:mi>w</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>c</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mo mathvariant="normal">‾</mml:mo></mml:mover></mml:math></inline-formula>, rather than on gravity alone. The profile-derived apparent friction velocities (<inline-formula><mml:math id="M367" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>) were 0.063, 0.089, and 0.154 <inline-formula><mml:math id="M368" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> at nominal wind speeds of 2, 4, and 6 <inline-formula><mml:math id="M369" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively. The corresponding nominal near-wall viscous length scales, estimated as <inline-formula><mml:math id="M370" display="inline"><mml:mrow><mml:msub><mml:mi>z</mml:mi><mml:mi mathvariant="italic">ν</mml:mi></mml:msub><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>/</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M371" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M372" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M373" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<sup>−5</sup> <inline-formula><mml:math id="M375" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> is the kinematic viscosity of air, were approximately 1.20, 0.85, and 0.49 <inline-formula><mml:math id="M376" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">mm</mml:mi></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e5095">The relative importance of gravitational settling versus turbulent diffusion can be quantified by the Rouse number, <inline-formula><mml:math id="M377" display="inline"><mml:mrow><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ω</mml:mi><mml:mi>s</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi mathvariant="italic">κ</mml:mi><mml:msub><mml:mi>u</mml:mi><mml:mo>∗</mml:mo></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula>. For particle diameters of 2–10 <inline-formula><mml:math id="M378" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M379" display="inline"><mml:mi>P</mml:mi></mml:math></inline-formula> ranged from approximately 0.006 to 0.32 and decreased with increasing wind speed for a given particle size. These values below unity support an important role of turbulent mixing relative to gravitational settling, particularly for finer particles and at higher wind speeds.</p>
      <p id="d2e5141">At 2 <inline-formula><mml:math id="M380" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, turbulence may have been sufficient to efficiently transport fine particles from the core flow to the top of the viscous sublayer, supporting particle transfer toward the near-surface region, yet insufficient to induce substantial resuspension. This creates favorable conditions for deposition. At higher wind speeds (4–6 <inline-formula><mml:math id="M381" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), stronger turbulent mixing could prolong particle suspension and enhance horizontal redistribution near the surface.</p>
</sec>
<sec id="Ch1.S4.SS2.SSS2">
  <label>4.2.2</label><title>Possible contribution of shear-induced aggregation</title>
      <p id="d2e5186">The PSD of cumulative retained material at 2 <inline-formula><mml:math id="M382" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> showed the most pronounced temporal enrichment in the 10–20 <inline-formula><mml:math id="M383" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> range. This “effective coarsening” may reflect shear-induced aggregation together with size-selective transport and retention. <inline-formula><mml:math id="M384" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn mathvariant="normal">50</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of cumulative deposited material increased from approximately 7.1 <inline-formula><mml:math id="M385" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at 0.5 <inline-formula><mml:math id="M386" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> to 9.8 <inline-formula><mml:math id="M387" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> at 3 <inline-formula><mml:math id="M388" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula>. Under an equivalent-sphere approximation, the characteristic volumes associated with these two diameters differ by a factor of approximately 2.6, of the same order as the combined volume of 2–3 similarly sized primary particles. This geometric comparison is consistent with limited particle clustering, although size-selective deposition and retention could also produce the observed PSD change.</p>
      <p id="d2e5264">This behavior is qualitatively consistent with studies of two-phase turbulent flows and cohesive particles, which often report a non-monotonic relationship between aggregate size and shear intensity, with an optimum intermediate turbulence intensity. Moderate shear can enhance collision frequencies and adhesion, forming transient clusters that increase the ensemble's settling velocity, while stronger shear leads to cluster breakup and reduced net settling (Mietta et al., 2009; Yu et al., 2022; Penlou et al., 2023; Zhao et al., 2023).</p>
</sec>
<sec id="Ch1.S4.SS2.SSS3">
  <label>4.2.3</label><title>Possible roles of re-entrainment and horizontal redistribution</title>
      <p id="d2e5276">When wind speed increases to 4–6 <inline-formula><mml:math id="M389" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, the fitted accumulation kinetics differed clearly from those observed at 2 <inline-formula><mml:math id="M390" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. For fine-to-medium particles, <inline-formula><mml:math id="M391" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> remained relatively high, whereas the asymptotic retained mass <inline-formula><mml:math id="M392" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> and initial net accumulation flux <inline-formula><mml:math id="M393" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> declined substantially. This combination represents a rapid approach to a lower retained-mass asymptote. The auxiliary screening test identified an apparent critical wind-speed range of 5.87–6.01 <inline-formula><mml:math id="M394" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for marked dust mobilization from the dust surface (Fig. S1). The 6 <inline-formula><mml:math id="M395" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> treatment lay within this range, making particle rebound and local re-entrainment plausible contributors to the reduced retention. In contrast, the 4 <inline-formula><mml:math id="M396" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> treatment remained well below the apparent critical range. Its lower tray-retained mass, together with the higher late-stage airborne concentration, is more consistent with continued suspension, recirculation, horizontal redistribution, and reduced stable retention.</p>
      <p id="d2e5390">This wind-speed dependence of net accumulation aligns with previous observations of mineral dust dry deposition and resuspension (Goossens and Rajot, 2008; Bergametti et al., 2018; Waza et al., 2019). Field intercomparisons of various passive samplers have demonstrated that dust deposition flux does not always increase monotonically with wind speed; at certain sites and for specific sampler types, apparent net deposition even decreases with increasing wind speed. This inverse relationship is typically attributed to enhanced resuspension fluxes from the surface bed, coupled with increased undercatch of coarse particles by some samplers under high wind conditions (Goossens and Rajot, 2008; Waza et al., 2019). Similarly, wind-tunnel experiments and size-resolved field measurements indicate that near the onset of active wind erosion, particle dry deposition velocities become highly sensitive to friction velocity, surface roughness, and near-surface turbulent structure (Zhang et al., 2014; Bergametti et al., 2018; Waza et al., 2019).</p>
</sec>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Implications for dust deposition parameterizations</title>
      <p id="d2e5402">Conventional parameterizations of particle dry deposition commonly calculate deposition velocity as a prescribed function of particle size, friction velocity, surface roughness, and land-cover type, while rebound and resuspension are represented using separate simplified treatments (Petroff and Zhang, 2010; Zhang and He, 2014; Zhang and Shao, 2014; Khan and Perlinger, 2017; Zeng et al., 2020). Classical particle-deposition frameworks account for particle-size-dependent transport and surface collection processes (Slinn, 1982), although the level of process detail differs among parameterizations. Numerical studies of particle-laden turbulent flows further show that predicted deposition rates are sensitive to turbulence closure, boundary conditions, and the treatment of near-wall velocity fluctuations (Tian and Ahmadi, 2007). However, these frameworks provide limited constraints on time-dependent net surface accumulation under low-wind conditions.</p>
      <p id="d2e5405">Observational studies, parameterization intercomparisons, and model-sensitivity experiments have demonstrated substantial uncertainty in particle dry deposition. Widely used parameterizations may overestimate deposition of accumulation-mode particles while underestimating coarse particle deposition over terrestrial surfaces (Petroff and Zhang, 2010; Adebiyi and Kok, 2020; Emerson et al., 2020; Farmer et al., 2021). Such size-dependent biases can affect simulated aerosol lifetime, atmospheric burden, and radiative forcing (Emerson et al., 2020). In dust simulations, differences in the representation of surface resistance, impaction collection, and particle rebound can also produce large differences in dry-deposition fluxes and atmospheric dust loading (Zeng et al., 2020).</p>
      <p id="d2e5408">To quantify the departure from a non-decreasing wind-speed response, the observed initial net accumulation flux <inline-formula><mml:math id="M397" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> was compared against a non-decreasing benchmark <inline-formula><mml:math id="M398" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mrow><mml:mn mathvariant="normal">0</mml:mn><mml:mo>,</mml:mo><mml:mtext>mono</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>. For the <inline-formula><mml:math id="M399" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M400" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> cumulative classes, the observed <inline-formula><mml:math id="M401" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values at 2 <inline-formula><mml:math id="M402" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> exceeded the benchmark by approximately 15 %–72 % (<inline-formula><mml:math id="M403" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M404" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.15–1.72; Table S4). At <inline-formula><mml:math id="M405" display="inline"><mml:mn mathvariant="normal">6</mml:mn></mml:math></inline-formula> <inline-formula><mml:math id="M406" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M407" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> falls 45 %–91 % below the benchmark (<inline-formula><mml:math id="M408" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M409" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.09–0.55), corresponding to an overestimation by factors of approximately 1.8–11 for the affected size classes. Deviations are smaller for <inline-formula><mml:math id="M410" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">63</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math id="M411" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M412" display="inline"><mml:mo>≈</mml:mo></mml:math></inline-formula> 0.77 at 6 <inline-formula><mml:math id="M413" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>), suggesting that the non-monotonic response is most pronounced for fine-to-medium particles in the present setup.</p>
      <p id="d2e5595">This study yields several quantitative insights relevant to dry-deposition parameterizations in the low-wind regime: (i) a distinct peak in the initial net accumulation flux <inline-formula><mml:math id="M414" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> occurs at approximately 2 <inline-formula><mml:math id="M415" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> under the experimental conditions, whereas speeds of 4–6 <inline-formula><mml:math id="M416" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> substantially reduce net deposition of fine-to-medium particles; (ii) kinetic time scales vary non-monotonically, with the characteristic time <inline-formula><mml:math id="M417" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> for fine particles reaching a minimum at 2–4 <inline-formula><mml:math id="M418" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> while the fitted asymptotic retained mass <inline-formula><mml:math id="M419" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> declines sharply at 4–6 <inline-formula><mml:math id="M420" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, indicating that deposition rate and eventual deposited fraction do not vary synchronously with wind speed; (iii) distinct temporal evolution of the PSD emerges, with rapid progression toward the 10–20 <inline-formula><mml:math id="M421" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> range at 2 <inline-formula><mml:math id="M422" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> contrasted against early spectral stabilization at 4–6 <inline-formula><mml:math id="M423" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d2e5737">These findings complement multi-sampler comparison studies at the Izaña mountain station and evaluations of deposition schemes over rough surfaces (Bergametti et al., 2018; Waza et al., 2019). While previous studies highlighted flux-closure issues from an observation-parameterization discrepancy standpoint, our controlled experiments provide process-level understanding of wind-speed influences.</p>
      <p id="d2e5740">For numerical simulations, the size-resolved <inline-formula><mml:math id="M424" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M425" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, <inline-formula><mml:math id="M426" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, and <inline-formula><mml:math id="M427" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> values provide empirical constraints on the temporal response of effective surface retention under matched dust and surface conditions. Existing size-resolved dry-deposition schemes describe particle removal as a function of particle size, friction velocity, surface roughness, and surface collection properties, while model evaluations have demonstrated substantial sensitivity to the treatment of collection efficiency and particle rebound (Petroff and Zhang, 2010; Zhang and Shao, 2014; Khan and Perlinger, 2017; Zeng et al., 2020). In a coupled parameterization, <inline-formula><mml:math id="M428" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M429" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula> characterize the adjustment timescale, <inline-formula><mml:math id="M430" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> describes the fitted asymptotic retained mass under a specified initial dust loading, and <inline-formula><mml:math id="M431" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> constrains the initial net surface flux. The observed response supports coupling conventional particle deposition with wind and size-dependent stable retention and a surface-specific, threshold-dependent re-entrainment term. The high <inline-formula><mml:math id="M432" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> near 2 <inline-formula><mml:math id="M433" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and its decline toward 6 <inline-formula><mml:math id="M434" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> provide benchmark behavior for evaluating such coupled parameterizations across the low-wind regime.</p>
      <p id="d2e5853">From a global dust cycle perspective, this non-monotonicity implies that net dry deposition in source regions under low post-dust wind conditions may be substantially higher than currently modeled, resulting in more rapid atmospheric dust load reduction and shorter effective transport distances. Conversely, under elevated background winds or complex topography, resuspension can extend fine particle residence time and enhance long-range transport fractions. These interpretations align with recent observationally constrained reassessments of dust size distributions and climatic impacts (Kok et al., 2017; Adebiyi and Kok, 2020; Emerson et al., 2020; Kok et al., 2021, 2023), which consistently identify model tendencies to underestimate coarse dust and near-source deposition while overestimating long-range transport and remote ocean dust burdens. Systematic underestimation of accumulation-mode and coarse particle deposition under weak-to-moderate turbulence would weaken near-source depositional sinks in models, likely resulting in overestimated dust load and radiative effects in remote oceanic and high-latitude regions.</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Uncertainties and future work</title>
      <p id="d2e5864">First, the use of a single agricultural soil dust (<inline-formula><mml:math id="M435" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 63 <inline-formula><mml:math id="M436" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula>) limits immediate generalization of the present results to dust from other origins, such as desert crusts, loess, or urban construction materials. Differences among dust materials may influence the observed kinetics through variations in airborne particle-size distribution, particle density and morphology, mineral composition, interparticle cohesion, and initial aggregation state. Coarser or denser particles would generally be expected to settle more rapidly, potentially producing a larger initial net accumulation flux <inline-formula><mml:math id="M437" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, a shorter characteristic time <inline-formula><mml:math id="M438" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>, and a more gravity-dominated response. Finer, lower-density, or more porous particles may remain suspended for longer periods (Richards-Thomas and McKenna-Neuman, 2020). Mineralogy, specific surface area, and surface chemistry may further modify particle cohesion and aggregation. A stronger tendency to aggregate under weak shear could increase the effective settling size, whereas aggregate breakup under stronger shear could reduce retained mass (Mietta et al., 2009; Yu et al., 2022; Penlou et al., 2023). Consequently, both the magnitude of the observed low-wind maximum and the wind speed at which it occurs may vary among dust types.</p>
      <p id="d2e5902">Second, tray-retained mass characterizes effective near-surface retention under the present closed-circuit wind-tunnel and collector configuration. Particles outside the tray-retained fraction may have remained in recirculation or deposited on the side walls, ceiling, turning vanes, fan assembly, steel cover plate, and other internal surfaces, which were not quantified. The tray dimensions, 3 <inline-formula><mml:math id="M439" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">cm</mml:mi></mml:mrow></mml:math></inline-formula> rim, smooth acrylic surface, and progressive removal of trays may also have affected local flow separation, particle rebound, and re-entrainment. The same initial layout, time-specific tray assignments, and retrieval sequence were used for all treatments, supporting comparisons among wind speeds. Absolute retained masses may vary for natural surfaces or other collector geometries.</p>
      <p id="d2e5913">Third, soil moisture was not investigated as an independent experimental variable. The sieved dust was oven-dried at 105 <inline-formula><mml:math id="M440" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">°</mml:mi><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:math></inline-formula> for 8 <inline-formula><mml:math id="M441" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">h</mml:mi></mml:mrow></mml:math></inline-formula> before each experiment, and the reported kinetics therefore represent dry dust conditions. Residual gravimetric water content was not measured after oven drying. Soil moisture can modify interparticle cohesion, the threshold wind speed for particle mobilization, aggregation, particle-surface adhesion, and resistance to re-entrainment (Fécan et al., 1999; Shao, 2008; Kok et al., 2012). Because the same dust batch and drying procedure were used for all wind-speed treatments, moisture differences are unlikely to explain the observed differences among treatments. However, the magnitude of the low-wind maximum and the wind speed at which it occurs may differ under moist field conditions.</p>
      <p id="d2e5934">Finally, particle shape was not independently characterized. Mineral dust particles are commonly non-spherical, and their flatness, elongation, and orientation can alter aerodynamic drag and settling velocity (Ginoux, 2003; Bagheri and Bonadonna, 2016). Consequently, volume-equivalent diameter alone does not fully describe the aerodynamic behavior of particles within each cumulative diameter-threshold class. Particle shape may have influenced aerodynamic transport, settling velocity, and surface retention, thereby affecting the absolute retained mass and fitted kinetic descriptors. Future experiments combining laser diffraction with microscopic measurements of aspect ratio and sphericity would allow this effect to be quantified.</p>
</sec>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d2e5947">This study quantified size-resolved net accumulation of mineral dust in a closed-circuit recirculating wind tunnel under calm air and low winds (0–6 <inline-formula><mml:math id="M442" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). Across all size-wind combinations, the temporal evolution of cumulative retained mass was well described by a first-order approach-to-asymptote model (<inline-formula><mml:math id="M443" display="inline"><mml:mrow><mml:msup><mml:mi>R</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.889</mml:mn></mml:mrow></mml:math></inline-formula>–0.992), enabling extraction of an asymptotic cumulative retained mass (<inline-formula><mml:math id="M444" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula>), effective net-accumulation rate coefficient (<inline-formula><mml:math id="M445" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>), characteristic timescale (<inline-formula><mml:math id="M446" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>), and initial net accumulation flux (<inline-formula><mml:math id="M447" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). These kinetic descriptors provide size-resolved empirical constraints on the temporal response of effective surface retention.</p>
      <p id="d2e6015">Within the tested wind-speed range, fine-to-medium size classes (<inline-formula><mml:math id="M448" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>–<inline-formula><mml:math id="M449" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">40</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) show their highest net accumulation at 2 <inline-formula><mml:math id="M450" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and lower accumulation at higher winds, with the strongest evidence for a peaked <inline-formula><mml:math id="M451" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> response in the <inline-formula><mml:math id="M452" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn mathvariant="normal">30</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> class. The fitted parameters indicate that increasing wind speed can accelerate the approach to the fitted asymptote (larger <inline-formula><mml:math id="M453" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>; shorter <inline-formula><mml:math id="M454" display="inline"><mml:mi mathvariant="italic">τ</mml:mi></mml:math></inline-formula>), while the ultimate retained mass <inline-formula><mml:math id="M455" display="inline"><mml:mi>a</mml:mi></mml:math></inline-formula> declines at higher winds within the tested range. Quadratic fits across the four wind-speed levels suggest a potential maximum in <inline-formula><mml:math id="M456" display="inline"><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> near 2–3 <inline-formula><mml:math id="M457" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">s</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for several size classes, but the inferred peak location remains tentative given the limited number of wind-speed treatments.</p>
      <p id="d2e6129">A conceptual interpretation consistent with these patterns is that an intermediate low-wind regime provides sufficient turbulent transport to promote particle transfer and stable retention while shear-driven particle rebound, re-entrainment, and horizontal redistribution remain comparatively limited; at higher winds, these competing processes may increasingly constrain the retained mass.</p>
      <p id="d2e6132">Overall, these measurements offer process-based constraints on low-wind dust accumulation and motivate refinement of dry-deposition parameterizations to represent the possibility of non-monotonic behavior and size-dependent regime shifts. Extending this framework to realistic boundary-layer turbulence and heterogeneous surfaces will require targeted observations and simulations of near-surface particle exchange.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d2e6139">The data and analysis code supporting this study are publicly available on Zenodo (<ext-link xlink:href="https://doi.org/10.5281/zenodo.18264330" ext-link-type="DOI">10.5281/zenodo.18264330</ext-link>, Jia and Liu, 2026).</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e6145">The Supplement accompanying this article contains Figs. S1 and S2 and Tables S1–S4. The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-14245-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-14245-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e6154">ZL, ZW, YuaL, and ZX conceived the research idea and contributed to the experimental design. RJ led the experimental design and execution, performed the data analysis, and wrote the first draft of the manuscript. CB contributed substantially to the experiments, data processing, and manuscript preparation. CZ contributed to data analysis and interpretation. YutL, QM, WL and LZ assisted with part of the experimental work. WK and FL provided critical revisions and constructive comments that improved the manuscript. JQ and ZL supervised the study. All authors reviewed and approved the final manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e6160">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d2e6166">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e6172">We thank the Experimental Center of Desert Forestry, Chinese Academy of Forestry, for providing the experimental facilities and technical support.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e6177">This study was supported by the Open Project of Inner Mongolia Academy of Forestry Science (grant no. KF2024ZD08), the Natural Science Foundation of Inner Mongolia (grant no. 2024LHMS03039), the National Natural Science Foundation of China (grant nos. 32401668 and 42377458) and the China Postdoctoral Science Foundation (grant no. 2024M753463).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e6183">This paper was edited by Maria Kanakidou and reviewed by two anonymous referees.</p>
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