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

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Abstract

Nonstationary diffusion of charged particles interacting through the Yukawa potential is considered. For a finite time interval and for sufficiently high temperature we prove convergence of the cluster expansions and the existence of nonequilibrium correlation functions in the limit ΛϖR3. Exponential clustering of the correlation functions is also established.

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Authors
  1. A. I. Pilyavskii
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  2. A. L. Rebenko
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  3. V. I. Skripnik
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 93, No. 1, pp. 119–137, October, 1992.

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Pilyavskii, A.I., Rebenko, A.L. & Skripnik, V.I. Generalized solutions of the Bogolyubov diffusion hierarchy in the thermodynamic limit. Cluster expansions. Theor Math Phys 93, 1160–1172 (1992). https://doi.org/10.1007/BF01016474

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  • DOI: https://doi.org/10.1007/BF01016474

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