Chaos, Scattering and Statistical Mechanics

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Cambridge University Press, Jul 21, 2005 - Science - 496 pages
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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.
 

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Contents

Introduction
1
Chapter 1 Dynamical systems and their linear stability
12
Chapter 2 Topological chaos
43
Chapter 3 Liouvillian dynamics
67
Chapter 4 Probabilistic chaos
126
Chapter 5 Chaotic scattering
171
Chapter 6 Scattering theory of transport
224
Chapter 7 Hydrodynamic modes of diffusion
275
Chapter 8 Systems maintained out of equilibrium
343
Chapter 9 Noises as microscopic chaos
387
Chapter 10 Conclusions and perspectives
433
References
458
Index
471
Cover
475
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