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Chaos and Coarse Graining in Statistical Mechanics
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General Information
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Type.................: Ebook
Part Size............: 1,514,704 bytes

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Posted by............: ~tqw~

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Release Notes
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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

1. Basic concepts of dynamical systems theory;
2. Dynamical indicators for chaotic systems: Lyapunov exponents, entropies and
beyond;
3. Coarse graining, entropies and Lyapunov exponents at work;
4. Foundation of the statistical mechanics and dynamical systems;
5. On the origin of irreversibility;
6. The role of chaos in non-equilibrium statistical mechanics;
7. Coarse-graining equations in complex systems;
8. Renormalization-group approaches;
Index.

Product Details

* ISBN: 0521895936
* ISBN-13: 9780521895934
* Format: Hardcover, 280pp
* Publisher: Cambridge University Press
* Pub. Date: August 2008

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