The Resource Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems, Da-Quan Jiang, Min Qian, Min-Ping Qian

Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems, Da-Quan Jiang, Min Qian, Min-Ping Qian

Label
Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems
Title
Mathematical theory of nonequilibrium steady states
Title remainder
on the frontier of probability and dynamical systems
Statement of responsibility
Da-Quan Jiang, Min Qian, Min-Ping Qian
Creator
Contributor
Subject
Genre
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
Member of
Cataloging source
HNK
http://library.link/vocab/creatorName
Jiang, Da-Quan
Dewey number
  • 510 s
  • 536/.7
Index
index present
LC call number
QC318.I7
LC item number
.J53 2004
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1927-
http://library.link/vocab/relatedWorkOrContributorName
  • Qian, Min
  • Qian, Min-Ping
Series statement
Lecture notes in mathematics,
Series volume
1833
http://library.link/vocab/subjectName
  • Nonequilibrium thermodynamics
  • Nonequilibrium statistical mechanics
  • Statistical thermodynamics
  • Markov processes
Label
Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems, Da-Quan Jiang, Min Qian, Min-Ping Qian
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/b94615
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 253-276) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chains -- Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameter -- General Minimal Diffusion Process: its Construction, Invariant Measure, Entropy Production and Irreversibility -- Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem -- Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifolds -- On a System of Hyperstable Frequency Locking Persistence under White Noise -- Entropy Production and Information Gain in Axiom A Systems -- Lyapunov Exponents of Hyperbolic Attractors -- Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems -- References -- Index
Extent
1 online resource (ix, 280 pages)
Form of item
online
Isbn
9783540409571
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Specific material designation
remote
System control number
  • (OCoLC)54103444
  • (OCoLC)ocm54103444
Label
Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems, Da-Quan Jiang, Min Qian, Min-Ping Qian
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/b94615
Publication
Bibliography note
Includes bibliographical references (pages 253-276) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chains -- Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameter -- General Minimal Diffusion Process: its Construction, Invariant Measure, Entropy Production and Irreversibility -- Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem -- Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifolds -- On a System of Hyperstable Frequency Locking Persistence under White Noise -- Entropy Production and Information Gain in Axiom A Systems -- Lyapunov Exponents of Hyperbolic Attractors -- Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems -- References -- Index
Extent
1 online resource (ix, 280 pages)
Form of item
online
Isbn
9783540409571
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Specific material designation
remote
System control number
  • (OCoLC)54103444
  • (OCoLC)ocm54103444

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