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

B. M. Gurevich, Iouri M. Soukhov

Research output: Contribution to journalArticle

15 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)225-236
Number of pages12
JournalCommunications In Mathematical Physics
Volume56
Issue number3
DOIs
StatePublished - Oct 1 1977

Fingerprint

Classical Mechanics
Stationary Solutions
statistical mechanics
Statistical Mechanics
hierarchies
BBGKY hierarchy
BBGKY Hierarchy
Generating Function
Continue
theorems
Configuration
configurations
Theorem
Hierarchy

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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Stationary solutions of the bogoliubov hierarchy equations in classical statistical mechanics. 3. / Gurevich, B. M.; Soukhov, Iouri M.

In: Communications In Mathematical Physics, Vol. 56, No. 3, 01.10.1977, p. 225-236.

Research output: Contribution to journalArticle

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