Coverart for item
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
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
http://library.link/vocab/creatorName
Jiang, Da-Quan
Index
index present
Literary form
non fiction
Nature of contents
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
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [253]-276) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction.
  • p. 1
  • 1.
  • Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chains.
  • p. 11
  • 2.
  • Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameter.
  • p. 45
  • 3.
  • General Minimal Diffusion Process: its Construction, Invariant Measure, Entropy Production and Irreversibility.
  • p. 67
  • 4.
  • Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem.
  • p. 93
  • 5.
  • Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifolds.
  • p. 121
  • 6.
  • On a System of Hyperstable Frequency Locking Persistence under White Noise.
  • p. 149
  • 7.
  • Entropy Production and Information Gain in Axiom A Systems.
  • p. 159
  • 8.
  • Lyapunov Exponents of Hyperbolic Attractors.
  • p. 189
  • 9.
  • Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems.
  • p. 215
  • References.
  • p. 253
  • Index.
  • p. 277
Control code
l82004298644
Dimensions
24 cm.
Extent
ix, 280 p.
Isbn
9783540206118
Lccn
2004298644
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Mathematical theory of nonequilibrium steady states : on the frontier of probability and dynamical systems, Da-Quan Jiang, Min Qian, Min-Ping Qian
Publication
Bibliography note
Includes bibliographical references (p. [253]-276) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Introduction.
  • p. 1
  • 1.
  • Circulation Distribution, Entropy Production and Irreversibility of Denumerable Markov Chains.
  • p. 11
  • 2.
  • Circulation Distribution, Entropy Production and Irreversibility of Finite Markov Chains with Continuous Parameter.
  • p. 45
  • 3.
  • General Minimal Diffusion Process: its Construction, Invariant Measure, Entropy Production and Irreversibility.
  • p. 67
  • 4.
  • Measure-theoretic Discussion on Entropy Production of Diffusion Processes and Fluctuation-dissipation Theorem.
  • p. 93
  • 5.
  • Entropy Production, Rotation Numbers and Irreversibility of Diffusion Processes on Manifolds.
  • p. 121
  • 6.
  • On a System of Hyperstable Frequency Locking Persistence under White Noise.
  • p. 149
  • 7.
  • Entropy Production and Information Gain in Axiom A Systems.
  • p. 159
  • 8.
  • Lyapunov Exponents of Hyperbolic Attractors.
  • p. 189
  • 9.
  • Entropy Production, Information Gain and Lyapunov Exponents of Random Hyperbolic Dynamical Systems.
  • p. 215
  • References.
  • p. 253
  • Index.
  • p. 277
Control code
l82004298644
Dimensions
24 cm.
Extent
ix, 280 p.
Isbn
9783540206118
Lccn
2004298644
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

Library Locations

    • Harold Cohen LibraryBorrow it
      Ashton Street, Liverpool, L69 3DA, GB
      53.418074 -2.967913
Processing Feedback ...