Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems

＜図書＞
Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems

責任表示	Da-Quan Jiang, Min Qian, Min-Ping Qian
シリーズ	Lecture notes in mathematics ; 1833
データ種別	図書
出版情報	Berlin ; Tokyo : Springer , c2004
本文言語	英語
大きさ	ix, 280 p. ; 24 cm
概要	This volume provides a systematic mathematical exposition of the conceptual problems of nonequilibrium statistical physics, such as entropy production, irreversibility, and ordered phenomena. Markov ...hains, 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. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7005635

一般注記	Includes bibliographical references (p. [253]-276) and index
著者標目	*Jiang, Da-Quan Qian, Min Qian, Min-Ping
書誌ID	1001389195
ISBN	3540206116
NCID	BA65209637
巻冊次	ISBN:3540206116
登録日	2009.11.02
更新日	2017.02.18