On Polymer Expansion for Gibbsian States of Nonequilibrium Systems of Interacting Brownian Oscillators

Authors

  • W. I. Skrypnik

Abstract

The convergence of polymer cluster expansions for correlation functions of general Gibbs oscillator-type systems and related nonequilibrium systems of Brownian oscillators is established. The initial states for the latter are Gibbsian. It is proved that the sequence of the constructed correlation functions of the nonequilibrium system is a generalized solution of a diffusion BBGKY-type hierarchy.

Published

25.10.2003

Issue

Section

Research articles

How to Cite

Skrypnik, W. I. “On Polymer Expansion for Gibbsian States of Nonequilibrium Systems of Interacting Brownian Oscillators”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 10, Oct. 2003, pp. 1356-77, https://umj.imath.kiev.ua/index.php/umj/article/view/4007.