Maximum Entropy Approach to a Mean Field Theory for Fluids

DOI10.1063/1.1570536zbMATH Open1446.62332arXivcond-mat/0212198OpenAlexW1938281295MaRDI QIDQ5116311

Chih-Yuan Tseng, Ariel Caticha

Publication date: 24 August 2020

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Abstract: Making statistical predictions requires tackling two problems: one must assign appropriate probability distributions and then one must calculate a variety of expected values. The method of maximum entropy is commonly used to address the first problem. Here we explore its use to tackle the second problem. We show how this use of maximum entropy leads to the Bogoliuvob variational principle which we generalize, apply to density functional theory, and use it to develop a mean field theory for classical fluids. Numerical calculations for Argon gas are compared with experimental data.

Full work available at URL: https://arxiv.org/abs/cond-mat/0212198

zbMATH Keywords

entropymean field theory for fluids

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Statistical aspects of information-theoretic topics (62B10)

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