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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive

Uspekhi Mat. Nauk, 2008 Volume 63, Issue 1(379), Pages 3–36 (Mi rm8517)

This article is cited in 28 papers

Reversibility and irreversibility in stochastic chemical kinetics

V. A. Malysheva, S. A. Pirogovb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Institute for Information Transmission Problems, Russian Academy of Sciences

Abstract: Mathematical models with mean field and local type interaction are considered in connection with stochastic chemical kinetics. Special emphasis is placed on various notions of reversibility, their consequences (Boltzmann type equations, fluctuations, Onsager relations, and so on), and the emergence of irreversibility.

UDC: 519.2

MSC: Primary 60K30, 80A30; Secondary 60J27, 82C22, 82C40, 82C43, 92E20

Received: 04.09.2007

DOI: 10.4213/rm8517


 English version:
Russian Mathematical Surveys, 2008, 63:1, 1–34

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