Solutions of Kirkwood-Salsburg equations for a one-dimensional lattice gas. (English. Russian original) Zbl 0854.60105

Nazin, G. I.; Tatosov, A. V.

Theor. Math. Phys. 102, No. 3, 336-340 (1995); translation from Teor. Mat. Fiz. 102, No. 3, 463-469 (1995).

Summary: Expressions are obtained for the lowest correlation functions directly from the Kirkwood-Salsburg equations for an infinite system of particles on a one-dimensional lattice with two-body nearest-neighbor interaction in certain external fields. The problem of finding the external field that makes the density oscillation near the wall uniform is considered.

MSC:

60K40	Other physical applications of random processes
82D30	Statistical mechanical studies of random media, disordered materials (including liquid crystals and spin glasses)

Keywords:

lowest correlation functions; Kirkwood-Salsburg equations; external field; density oscillation

References:

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[3]	R. J. Baxter,Exactly Solved Models in Statistical Mechanics, Academic Press, New York (1982). · Zbl 0538.60093
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