Maximum entropy approach to the theory of simple fluids
Abstract
We explore the use of the method of Maximum Entropy (ME) as a technique to generate approximations. In a first use of the ME method the "exact" canonical probability distribution of a fluid is approximated by that of a fluid of hard spheres; ME is used to select an optimal value of the hard-sphere diameter. These results coincide with the results obtained using the Bogoliuvob variational method. A second more complete use of the ME method leads to a better descritption of the soft-core nature of the interatomic potential in terms of a statistical mixture of distributions corresponding to hard spheres of different diameters. As an example, the radial distribution function for a Lennard-Jones fluid (Argon) is compared with results from molecular dynamics simulations. There is a considerable improvement over the results obtained from the Bogoliuvob principle.
Keywords
Cite
@article{arxiv.cond-mat/0310746,
title = {Maximum entropy approach to the theory of simple fluids},
author = {Chih-Yuan Tseng and Ariel Caticha},
journal= {arXiv preprint arXiv:cond-mat/0310746},
year = {2009}
}
Comments
14 pages and 4 figures. Presented at MaxEnt 2003, the 23rd International Workshop on Bayesian Inference and Maximum Entropy Methods (August 3-8, 2003, Jackson Hole, WY, USA)