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

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.