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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 145, Number 1, Pages 123–132
DOI: https://doi.org/10.4213/tmf1887
(Mi tmf1887)
 

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
Full-text PDF (208 kB) Citations (2)
References:
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
English version:
Theoretical and Mathematical Physics, 2005, Volume 145, Issue 1, Pages 1474–1482
DOI: https://doi.org/10.1007/s11232-005-0173-z
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
\yr 2005
\vol 145
\issue 1
\pages 1474--1482
\crossref{https://doi.org/10.1007/s11232-005-0173-z}
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Linking options:
  • https://www.mathnet.ru/eng/tmf1887
  • https://doi.org/10.4213/tmf1887
  • https://www.mathnet.ru/eng/tmf/v145/i1/p123
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:457
    Full-text PDF :277
    References:63
    First page:1
     
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