Hidden Bibliographic Details
| Other authors / contributors: | Qian, Min, 1927-
Qian, Min-Ping.
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| ISBN: | 9783540409571
3540409572
3540206116
9783540206118
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| Notes: | Includes bibliographical references (pages 253-276) and index.
Print version record.
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| Summary: | This volume provides a systematic mathematical exposition of the conceptual problems of nonequilibrium statistical physics, such as entropy production, irreversibility, and ordered phenomena. Markov chains, diffusion processes, and hyperbolic dynamical systems are used as mathematical models of physical systems. A measure-theoretic definition of entropy production rate and its formulae in various cases are given. It vanishes if and only if the stationary system is reversible and in equilibrium. Moreover, in the cases of Markov chains and diffusion processes on manifolds, it can be expressed in terms of circulations on directed cycles. Regarding entropy production fluctuations, the Gallavotti-Cohen fluctuation theorem is rigorously proved.
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| Other form: | Print version: Jiang, Da-Quan. Mathematical theory of nonequilibrium steady states. Berlin ; New York : Springer, ©2004 3540206116
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