#
Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems
Resource Information
The work ** Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems** represents a distinct intellectual or artistic creation found in **University of Liverpool**. This resource is a combination of several types including: Work, Language Material, Books.

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

The work

**Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems**represents a distinct intellectual or artistic creation found in**University of Liverpool**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems

- Title remainder
- on the frontier of probability and dynamical systems

- Statement of responsibility
- Da-Quan Jiang, Min Qian, Min-Ping Qian

- Language
- eng

- Summary
- 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

- Cataloging source
- OHX

- Index
- index present

- Literary form
- non fiction

- Nature of contents
- bibliography

- Series statement
- Lecture notes in mathematics

- Series volume
- 1833

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`<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/resource/2QWoOrGx0KE/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/resource/2QWoOrGx0KE/">Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>`