Chaos, Scattering and Statistical Mechanics

This book describes recent advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally, and to transport by deterministic diffusion in particular. The author presents the basic tools of dynamical systems theory, such as dynamical instability, topological analysis, periodic-orbit methods, Liouvillian dynamics, dynamical randomness and large-deviation formalism. These tools are applied to chaotic scattering and to transport in systems near equilibrium and maintained out of equilibrium. This book will be bought by researchers interested in chaos, dynamical systems, chaotic scattering, and statistical mechanics in theoretical, computational and mathematical physics and also in theoretical chemistry.

List of contents

1. Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4. Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic modes of diffusion; 8. Systems maintained out of equilibrium; 9. Noises as microscopic chaos.

Summary

This book describes advances in the application of chaos theory to classical scattering and nonequilibrium statistical mechanics generally, and to transport by deterministic diffusion in particular. The author presents the basic tools of dynamical systems theory, and these are applied to chaotic scattering and to transport in systems near equilibrium and maintained out of equilibrium.

Product details

• Authors: Pierre Gaspard
• Assisted by: Boris Chirikov (Editor), Predrag Cvitanovic (Editor)
• Publisher: Cambridge University Press
• Languages: English
• Product format: Hardback
• Released: 29.10.2014
• EAN: 9780521395113
• ISBN: 978-0-521-39511-3
• No. of pages: 496
• Dimensions: 175 mm x 250 mm x 31 mm
• Weight: 1027 g
• Series: Cambridge Nonlinear Science
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; Non-fiction book > Dictionaries, reference works > Miscellaneous