Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-12-09
p. 73 in "Bayesian Inference and Maximum Entropy Methods in Science and Engineering" ed. by C. J. Williams (A.I.P. Vol. 659, 2
Physics
Condensed Matter
Statistical Mechanics
Correctly included 4 figures into the article. Presented at MaxEnt 2002, the 22th International Workshop on Bayesian Inference
Scientific paper
10.1063/1.1570536
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.
Caticha Ariel
Tseng Chih-Yuan
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