Mathematical Theory of Nonequilibrium Steady States
By:Da-Quan Jiang,Min Qian
Published on 2004-02-12 by Springer Science & Business Media
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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Book which was published by Springer Science & Business Media since 2004-02-12 have ISBNs, ISBN 13 Code is 9783540206118 and ISBN 10 Code is 3540206116
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