{"product_id":"mathematical-theory-of-nonequilibrium-steady-states-on-the-frontier-of-probability-and-dynamical-systems-2004","title":"Mathematical Theory of Nonequilibrium Steady States","description":"\u003cp\u003e\"Mathematical Theory of Nonequilibrium Steady States\" by Da-Quan Jiang, Donghua Jiang is a mathematics book and learning resource focused on Thermal Effects. Best for teachers, students, and readers looking for stronger mathematical understanding.\u003c\/p\u003e\n\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Springer Science \u0026 Business Media","offers":[{"title":"Default Title","offer_id":46421815820487,"sku":"1-99-536-000257","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0736\/9575\/6487\/files\/9783540206118.jpg?v=1776379957","url":"https:\/\/snowflakeskies.com\/products\/mathematical-theory-of-nonequilibrium-steady-states-on-the-frontier-of-probability-and-dynamical-systems-2004","provider":"Snowflake Skies","version":"1.0","type":"link"}