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Solvability of the system of integral equations of lattice models of statistical mechanics
Yu. P. Virchenko National Research University "Belgorod State University"
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.
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
Linking options:
https://www.mathnet.ru/eng/into828 https://www.mathnet.ru/eng/into/v195/p10
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Abstract page: | 109 | Full-text PDF : | 37 | References: | 20 |
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