Mathematical Theory of Nonequilibrium Steady States
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"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.
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.
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"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.
Topic: Thermal Effects
Author: Da-Quan Jiang, Donghua Jiang
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
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.
| Author | Da-Quan Jiang, Donghua Jiang |
| Publisher | Springer Science & Business Media |
| Published | 2004 |
| ISBN-13 | 9783540206118 |
| Binding | Paperback |
| Pages | 296 |
| Language | English |
| Subjects | Markov processes |
| Topic | Thermal Effects |
| Series | Lecture Notes in Mathematics |
Format: Paperback
Length: 296 pages
Language: English
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