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This article is cited in 2 scientific papers (total in 2 papers)
Completeness of the Description of an Equilibrium Canonical Ensemble by a Two-Particle Partition Function
M. I. Kalinin Russian Research Institute for Metrological Service
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.
Received: 21.07.2004 Revised: 24.01.2005
Citation:
M. I. Kalinin, “Completeness of the Description of an Equilibrium Canonical Ensemble by a Two-Particle Partition Function”, TMF, 145:1 (2005), 123–132; Theoret. and Math. Phys., 145:1 (2005), 1474–1482
Linking options:
https://www.mathnet.ru/eng/tmf1887https://doi.org/10.4213/tmf1887 https://www.mathnet.ru/eng/tmf/v145/i1/p123
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Abstract page: | 457 | Full-text PDF : | 277 | References: | 63 | First page: | 1 |
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