Truncation procedure for high order reduced distribution functions

V.S. Vikhrenko, G.S. Bokun and M.I. Kulak

Physica A: Statistical Mechanics and its Applications, 1980, vol. 100, issue 2, 397-416

Abstract: The problem of the compatibility of the results obtained from approximate expressions for the junior distribution functions is viewed under a broad aspect. This paper concerns the compatibility of the calculated values of not only the energy and pressure but also of the higher-order derivatives of the free energy with respect to the thermodynamic variables (such as the heat capacity) as well as of the chain of integro-differential equations, the normalization relations, and the satisfaction of the correlation weakening conditions. The degree of agreement with the requirements mentioned is suggested to be useful as a possible a priori measure of applicability of a certain approximation adopted for calculating the correlation functions over a wide range of thermodynamic variables. The consideration is made within the framework of the conditional distribution method.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:100:y:1980:i:2:p:397-416

DOI: 10.1016/0378-4371(80)90128-4

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