书目名称 | Mathematical Theory of Nonequilibrium Steady States | 副标题 | On the Frontier of P | 编辑 | Da-Quan Jiang,Min Qian,Min-Ping Qian | 视频video | | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2004 | 关键词 | Markov chain; Markov processes; diffusion process; entropy production rate; hyperbolic dynamical systems | 版次 | 1 | doi | https://doi.org/10.1007/b94615 | isbn_softcover | 978-3-540-20611-8 | isbn_ebook | 978-3-540-40957-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 2004 |
The information of publication is updating
|
|