Mathematical Theory of Nonequilibrium Steady States On the Frontier of Probability and Dynamical Systems /

• Κύριοι συγγραφείς: Jiang, Da-Quan (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Qian, Min (http://id.loc.gov/vocabulary/relators/aut), Qian, Ming-Ping (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Έκδοση: 1st ed. 2004.
• Σειρά: Lecture Notes in Mathematics, 1833
• Θέματα: Probabilities.; Dynamics.; Ergodic theory.; Global analysis (Mathematics).; Manifolds (Mathematics).; Statistical physics.; Dynamical systems.; Probability Theory and Stochastic Processes.; Dynamical Systems and Ergodic Theory.; Global Analysis and Analysis on Manifolds.; Complex Systems.; Statistical Physics and Dynamical Systems.
• Φυσική περιγραφή: X, 286 p. online resource.
• ISBN: 9783540409571
• ISSN: 0075-8434 ;
• DOI: 10.1007/b94615

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.