Introduction to Chaos in Nonequilibrium Statistical Mechanics

Klappentext Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics. Zusammenfassung 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. Of interest to graduate students and researchers with a background in statistical mechanics. Inhaltsverzeichnis 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.

Product details

• Authors: J. R. Dorfman, J. R. (University of Maryland Dorfman, J. Robert Dorfman, J.R. Dorfman, Robert Dorfman
• Assisted by: Peter Goddard (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 28.08.1999
• EAN: 9780521655897
• ISBN: 978-0-521-65589-7
• No. of pages: 304
• Series: Cambridge Lecture Notes in Phy
• Subject: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics