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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 195, Pages 10–24
DOI: https://doi.org/10.36535/0233-6723-2021-195-10-24
(Mi into828)
 

Solvability of the system of integral equations of lattice models of statistical mechanics

Yu. P. Virchenko

National Research University "Belgorod State University"
References:
Abstract: The paper is a review of results on the solvability of a system of integral equations, which is an analog of the Kirkwood–Salzburg equations for an infinite set of partial probability distributions of Gibbs random sets on Zd corresponding to lattice gas models of equilibrium statistical mechanics with a pair interaction potential U. We study the relationship between the solvability of the system and the location of zeros of the partition functions QΛ(z) of models.
Keywords: statistical mechanics, Gibbs distribution, lattice system, Kirkwood–Salzburg equations, partition function, thermodynamic limit.
Document Type: Article
UDC: 517.968.28
MSC: 82B20, 60K35, 46N55
Language: Russian
Citation: Yu. P. Virchenko, “Solvability of the system of integral equations of lattice models of statistical mechanics”, Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 195, VINITI, Moscow, 2021, 10–24
Citation in format AMSBIB
\Bibitem{Vir21}
\by Yu.~P.~Virchenko
\paper Solvability of the system of integral equations of lattice models of statistical mechanics
\inbook Proceedings of the International Conference on Mathematical Modelling in Applied Sciences — ICMMAS'19. Belgorod, August 20–24, 2019
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 195
\pages 10--24
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into828}
\crossref{https://doi.org/10.36535/0233-6723-2021-195-10-24}
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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