On the completeness of describing an equilibrium canonical ensemble using a pair distribution function

2004/05/12 by M. I. Kalinin, Kalinin, M. I. · 1 citation
Computer Science · Engineering · Physics and Astronomy · #Bayesian Methods and Mixture Models #FOS: Physical sciences #Material Science and Thermodynamics #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0405256

10 pages, no figures

arxiv created 2004/05/12 · openalex publication_date 2004/05/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

It is shown that in equilibrium a canonical ensemble of particles with two-particle interaction the Gibbs distribution function may be expressed uniquely through a pair distribution function. It means, that for given values of the particle number N, volume V, and temperature T, the pair distribution function contains as many information about the system as a full Gibbs distribution. The latter is represented as a series expansion in the pair distribution function. A recurrence relation system is constructed, which allows all terms of this expansion to be calculated successively.

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• On one-to-one correspondence of Gibbs distribution and reduced two-particle distribution function

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