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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1992 Volume 93, Number 1, Pages 119–137 (Mi tmf5742)

This article is cited in 1 paper

Generalized solutions of the Bogolyubov diffusion hierarchy in the thermodynamic limit. Cluster expansions

A. I. Pilyavskii, A. L. Rebenko, V. I. Skripnik

Mathematics Institute, Academy of Sciences of the Ukrainian SSR

Abstract: Nonstationary diffusion of charged particles interacting through the Yukawa potential is considered. For a finite time interval and for sufficiently high temperatures we prove convergence of the cluster expansions and the existence of nonequilibrium correlation functions in the limit $\Lambda\nearrow\mathbb R^3$. Exponential clustering of the correlation functions is also established.

Received: 23.09.1991


 English version:
Theoretical and Mathematical Physics, 1992, 93:1, 1160–1172

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