The Resource Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems, by Da-Quan Jiang, Min Qian, Min-Ping Qian, (electronic resource)

Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems, by Da-Quan Jiang, Min Qian, Min-Ping Qian, (electronic resource)

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
by Da-Quan Jiang, Min Qian, Min-Ping Qian
Creator
Contributor
Author
Provider
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
Member of
http://library.link/vocab/creatorName
Jiang, Da-Quan
Image bit depth
0
LC call number
QA313
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Qian, Min.
  • Qian, Min-Ping.
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1833
http://library.link/vocab/subjectName
  • Mathematics
  • Differentiable dynamical systems
  • Global analysis
  • Distribution (Probability theory)
  • Mathematics
  • Dynamical Systems and Ergodic Theory
  • Global Analysis and Analysis on Manifolds
  • Probability Theory and Stochastic Processes
  • Statistical Physics, Dynamical Systems and Complexity
Label
Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems, by Da-Quan Jiang, Min Qian, Min-Ping Qian, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Extent
X, 286 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540409571
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b94615
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-40957-1
Label
Mathematical Theory of Nonequilibrium Steady States : On the Frontier of Probability and Dynamical Systems, by Da-Quan Jiang, Min Qian, Min-Ping Qian, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
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
Dimensions
unknown
Extent
X, 286 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540409571
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b94615
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-40957-1

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