Maximum Entropy Approach to a Mean Field Theory for Fluids
作者:
Chih‐Yuan Tseng,
Ariel Caticha,
期刊:
AIP Conference Proceedings
(AIP Available online 1903)
卷期:
Volume 659,
issue 1
页码: 73-91
ISSN:0094-243X
年代: 1903
DOI:10.1063/1.1570536
出版商: AIP
数据来源: AIP
摘要:
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. © 2003 American Institute of Physics
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