Maximum Entropy approach to a Mean Field Theory for Fluids
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.
Keywords
Cite
@article{arxiv.cond-mat/0212198,
title = {Maximum Entropy approach to a Mean Field Theory for Fluids},
author = {Chih-Yuan Tseng and Ariel Caticha},
journal= {arXiv preprint arXiv:cond-mat/0212198},
year = {2009}
}
Comments
Correctly included 4 figures into the article. Presented at MaxEnt 2002, the 22th International Workshop on Bayesian Inference and Maximum Entropy Methods (August 3-7, 2002, Moscow, Idaho, USA)