| An Introduction to Chaos in Nonequilibrium Statistical Mechanics Contributor(s): Dorfman, J. R. (Author) |
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ISBN: 0521655897 ISBN-13: 9780521655897 Publisher: Cambridge University Press OUR PRICE: $74.09 Product Type: Paperback - Other Formats Published: August 1999 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Science | Mechanics - General - Science | Chaotic Behavior In Systems - Science | Physics - Mathematical & Computational |
| Dewey: 530.130 |
| LCCN: 98-50545 |
| Series: Cambridge Lecture Notes in Physics |
| Physical Information: 0.74" H x 6.3" W x 9.02" (0.99 lbs) 304 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book provides an introduction to nonequilibrium statistical mechanics applied to ideas in chaotic dynamics. The author illustrates how techniques in statistical mechanics can be used to calculate quantities that are essential to understanding the chaotic behavior of fluid systems. Beginning with important background information, the volume goes on to introduce basic concepts of dynamical systems theory through simple examples before explaining advanced topics such as SRB and Gibbs measures. It will be of great interest to graduate students and researchers in condensed matter physics, nonlinear science, theoretical physics, mathematics, and theoretical chemistry. |