Theoretical and Mathematical Physics

, Volume 145, Issue 1, pp 1474–1482 | Cite as

Completeness of the Description of an Equilibrium Canonical Ensemble by a Two-Particle Partition Function

  • M. I. Kalinin
Article
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Revised:

Abstract

We show that in the equilibrium classical canonical ensemble of particles with pair interaction, the full Gibbs partition function can be uniquely expressed in terms of the two-particle partition function. This implies that for a fixed number N of particles in the equilibrium system and a fixed volume V and temperature T, the two-particle partition function fully describes the Gibbs partition as well as the N-particle system in question. The Gibbs partition can be represented as a power series in the two-particle partition function. As an example, we give the linear term of this expansion.

Keywords

equilibrium canonical ensemble Gibbs partition two-particle partition function nonlinear operator equation unique solvability 
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • M. I. Kalinin
    • 1
  1. 1.All-Russia Research Institute of the Metrological AgencyMoscowRussia

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