On the product property of the distribution functions in classical statistical mechanics

H. Moraal

Physica A: Statistical Mechanics and its Applications, 1981, vol. 105, issue 1, 303-312

Abstract: A study is made of the product property of the distribution functions in classical statistical mechanics, that is, of the factorization of the distribution functions for widely separated sets of particles. It is proved that distribution functions with the product property satisfy the Kirkwood-Salsburg (KS) equations and that, conversely, existence of solutions of the KS equations implies, under mild restrictions, existence of solutions with the product property. In particular, the unique solutions for small activity must have this property. The results of this and of some previous articles are used to construct a plausible scheme for the solutions of the KS equations for all values of the activity.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:105:y:1981:i:1:p:303-312

DOI: 10.1016/0378-4371(81)90079-0

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