Atmospheric Chemistry and Physics
Atmospheric Chemistry and Physics
ACP
Articles | Volume 25, issue 16
Articles | Volume 25, issue 16
https://doi.org/10.5194/acp-25-9357-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/acp-25-9357-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 25, issue 16
Technical note
 | 
27 Aug 2025
Technical note |  | 27 Aug 2025

Technical note: General formulation for the distribution problem – prognostic assumed probability density function (PDF) approach based on the maximum-entropy principle and the Liouville equation

Jun-Ichi Yano, Vincent E. Larson, and Vaughan T. J. Phillips

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Latest update: 03 Nov 2026
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Short summary
The distribution problems appear in atmospheric sciences at almost every corner when describing diverse processes. This paper presents a general formulation for addressing all these problems.
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