An Introduction to Chaos in Nonequilibrium Statistical Mechanics (Cambridge Lecture Notes in Physics) by J. R. Dorfman

Cambridge Lecture Notes in Physics #14

by J.R. Dorfman

This work 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.

Paperback Bunko

First published August 28, 1999

Reviews

[Luis · Rating 5 out of 5]

This book was written while I was working on my PhD and the author was fortunately my adviser. I think that my objectivity could fairly be put to question, but this book is excellent in so many ways. Have read it many times over the years, and there's always great stuff in it. Absolutely recommended to anyone wishing to explore the connections between Chaos and the foundations of Statistical Mechanics.