Stationary solutions of the bogoliubov hierarchy equations in classical statistical mechanics. 3

B. M. Gurevich; Iouri M. Soukhov

doi:10.1007/BF01614210

Stationary solutions of the bogoliubov hierarchy equations in classical statistical mechanics. 3

B. M. Gurevich, Iouri M. Soukhov

Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We continue the analysis of the "conjugate" equation for the generating function of a Gibbs random point field corresponding to a stationary solution of the classical BBGKY hierarchy. This equation was established and partially investigated in the preceding papers under the same title. In the present paper we reduce a general theorem about the form of solutions of the "conjugate" equation to a statement which relates to a special case where the interacting particles constitute a "quasi"-one dimensional configuration.

Original language	English (US)
Pages (from-to)	225-236
Number of pages	12
Journal	Communications In Mathematical Physics
Volume	56
Issue number	3
DOIs	https://doi.org/10.1007/BF01614210
State	Published - Oct 1 1977

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01614210

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