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9780521895934

Chaos and Coarse Graining in Statistical Mechanics

by
  • ISBN13:

    9780521895934

  • ISBN10:

    0521895936

  • Format: Hardcover
  • Copyright: 2008-09-15
  • Publisher: Cambridge University Press

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Summary

While statistical mechanics describe the equilibrium state of systems with many degrees of freedom, and dynamical systems explain the irregular evolution of systems with few degrees of freedom, new tools are needed to study the evolution of systems with many degrees of freedom. This book presents the basic aspects of chaotic systems, with emphasis on systems composed by huge numbers of particles. Firstly, the basic concepts of chaotic dynamics are introduced, moving on to explore the role of ergodicity and chaos for the validity of statistical laws, and ending with problems characterized by the presence of more than one significant scale. Also discussed is the relevance of many degrees of freedom, coarse graining procedure, and instability mechanisms in justifying a statistical description of macroscopic bodies. Introducing the tools to characterize the non asymptotic behaviors of chaotic systems, this text will interest researchers and graduate students in statistical mechanics and chaos.

Table of Contents

Basic concepts of dynamical systems theory
Dynamical indicators for chaotic systems: Lyapunov exponents, entropies and beyond
Coarse graining, entropies and Lyapunov exponents at work
Foundation of the statistical mechanics and dynamical systems
On the origin of irreversibility
The role of chaos in non-equilibrium statistical mechanics
Coarse-graining equations in complex systems
Renormalization-group approaches
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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