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9780521018258

Chaos, Scattering and Statistical Mechanics

by
  • ISBN13:

    9780521018258

  • ISBN10:

    0521018250

  • Format: Paperback
  • Copyright: 2005-07-21
  • Publisher: Cambridge University Press

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Summary

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.

Table 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.

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