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Maximum entropy approach to the theory of simple fluids

Chih-Yuan Tseng·Ariel Caticha
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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.

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Chih-Yuan Tseng, Ariel Caticha. 2003-10-30. Maximum entropy approach to the theory of simple fluids. https://doi.org/10.1063/1.1751353

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