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JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2020, Volume 52, Issue 2, Pages 62–70 (Mi pmf62)

MATHEMATICS

Kirkwood - Salzburg equations for lattice classical models of statistical mechanics

Yu. P. Virchenko, E. Yu. Moskovchenko

National Research University "Belgorod State University"

Abstract: Lattice models of statistical mechanics of classical systems with a summable pair interaction potential, which from the physical point of view describe the so-called diluted systems of many particles are studied. The equations system of partial probabilities is obtained that is similar to the Kirkwood - Salzburg system which is used when continuous models are studied.

Keywords: statistical mechanics, Gibbs distributions, lattice systems, Kirkwood - Salzburg equations, partition function, thermodynamic limit, Hamiltonian, periodic conditions.

UDC: 517.952

DOI: 10.18413/2687-0959-2020-52-2-62-70



© Steklov Math. Inst. of RAS, 2024