An Introduction to Chaos in Nonequilibrium Statistical Mechanics
Title Statements
- Full title :An Introduction to Chaos in Nonequilibrium Statistical Mechanics / J.R. Dorfman.
Edition Statements
- Publication Date:1999.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:1999.
Notes
Title from publishers bibliographic system (viewed on 22 Dec 2011).
The Physical Object
- Description:1 online resource (304 pages)
Edition Identifiers
- ISBN:9780511628870, 0511628870, 9780521655897, 0521655897
- oclc:ocn776969730
- LC Classification:QC174.8 ǂb D67 1999eb
- Dewey Decimal:530.13/01/1857
Table of Contents
Cover; Title; Copyright; Contents; Preface ; 1 Nonequilibrium statistical mechanics ; 1.1 Introduction ; 1.2 The law of large numbers and the laws of mechanics ; 1.3 Boltzmann's ergodic hypothesis ; 1.4 Gibbs' mixing hypothesis ; 1.5 Irregular dynamical motions.
1.6 Modern nonequilibrium statistical mechanics 1.7 Outline of this book ; 1.8 Further reading ; 2 The Boltzmann equation ; 2.1 Heuristic derivation ; 2.2 Boltzmann's H-theorem; 2.3 Kac's ring model ; 2.4 Tagged particle diffusion ; 2.5 Further reading ; 2.6 Exercises ; 3 Liouville's equation.
3.1 Derivation 3.2 The BBGKY hierarchy equations ; 3.3 Poincaré recurrence theorem; 3.4 Further reading ; 3.5 Exercises ; 4 Boltzmann's ergodic hypothesis ; 4.1 Introduction ; 4.2 Equal times in regions of equal measure ; 4.3 The individual ergodic theorem ; 4.4 Further reading ; 4.5 Exercises.
5 Gibbs' picture: mixing systems 5.1 The definition of a mixing system ; 5.2 Distribution functions for mixing systems ; 5.3 Chaos ; 5.4 Further reading ; 6 The Green-Kubo formulae ; 6.1 Linear response theory ; 6.2 van Kampen's objections ; 6.3 The Green-Kubo formula: diffusion.
6.4 Further reading 7 The baker's transformation ; 7.1 The t…
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