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Mathematical Theory of Nonequilibrium Steady States On the Frontier of Probability and Dynamical Systems

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 phys...

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Bibliographic Details
Main Authors: Jiang, Da-Quan, Qian, Min (Author), Qian, Ming-Ping (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2004, 2004
Edition:1st ed. 2004
Series:Lecture Notes in Mathematics
Subjects:
Dynamical Systems And Ergodic Theory
Global Analysis And Analysis On Manifolds
Ergodic Theory
Statistical Physics And Dynamical Systems
Statistical Physics
Complex Systems
Manifolds (mathematics)
Global Analysis (mathematics)
Probability Theory And Stochastic Processes
Dynamical Systems
Probabilities
Dynamics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of 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

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