An Introduction to Chaos in Nonequilibrium Statistical Mechanics

An Introduction to Chaos in Nonequilibrium Statistical Mechanics

by J. R. Dorfman, Robert Dorfman
     
 

ISBN-10: 0521655897

ISBN-13: 9780521655897

Pub. Date: 06/28/2003

Publisher: Cambridge University Press

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

Overview

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.

Product Details

ISBN-13:
9780521655897
Publisher:
Cambridge University Press
Publication date:
06/28/2003
Series:
Cambridge Lecture Notes in Physics Series, #14
Edition description:
New Edition
Pages:
302
Product dimensions:
5.98(w) x 8.98(h) x 0.67(d)

Related Subjects

Table of Contents

Preface; 1. Non-equilibrium statistical mechanics; 2. The Boltzmann equation; 3. Liouville's equation; 4. Poincaré recurrence theorem; 5. Boltzmann's ergodic hypothesis; 6. Gibbs' picture-mixing systems; 7. The Green-Kubo formulae; 8. The Baker's transformation; 9. Lyapunov exponents for a map; 10. The Baker's transformation is ergodic; 11. Kolmogorov-Sinai entropy; 12. The Frobenius-Perron equation; 13. Open systems and escape-rates; 14. Transport coefficients and chaos; 15. SRB and Gibbs measures; 16. Fractal forms in Green-Kubo relations; 17. Unstable periodic orbits; 18. Lorentz lattice gases; 19. Dynamical foundations of the Boltzmann equation; 20. The Boltzmann equation returns; 21. What's next; Appendices; Bibliography.

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