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Mathematical Theory of Nonequilibrium Steady States

Mathematical Theory of Nonequilibrium Steady States On the Frontier of Probability and Dynamical Systems - Lecture Notes in Mathematics

2004

Paperback (08 Dec 2003)

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Publisher's Synopsis

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.

Book information

ISBN: 9783540206118
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 2004
DEWEY: 519.23
DEWEY edition: 22
Language: English
Number of pages: 280
Weight: 452g
Height: 234mm
Width: 159mm
Spine width: 14mm