An Introduction to Chaos in Nonequilibrium Statistical Mechanics
(Book #14 in the Cambridge Lecture Notes in Physics Series)
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This book is an introduction to the applications in nonequilibrium statistical mechanics of chaotic dynamics, and also to the use of techniques in statistical mechanics important for an understanding of the chaotic behaviour of fluid systems. The fundamental concepts of dynamical systems theory are reviewed and simple examples are given. Advanced topics including SRB and Gibbs measures, unstable periodic orbit expansions, and applications to billiard-ball systems, are then explained. The text emphasises the connections between transport coefficients, needed to describe macroscopic properties of fluid flows, and quantities, such as Lyapunov exponents and Kolmogorov-Sinai entropies, which describe the microscopic, chaotic behaviour of the fluid. Later chapters consider the roles of the expanding and contracting manifolds of hyperbolic dynamical systems and the large number of particles in macroscopic systems. Exercises, detailed references and suggestions for further reading are included.
Format:Paperback
Language:English
ISBN:0521655897
ISBN13:9780521655897
Release Date:January 2008
Publisher:Cambridge University Press
Length:304 Pages
Weight:1.15 lbs.
Dimensions:0.7" x 6.3" x 9.0"
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