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Science/Engineering Chaos and Coarse Graining in Statistical Mechanics

Posted on 2010-03-15




Name:Science/Engineering Chaos and Coarse Graining in Statistical Mechanics
ASIN/ISBN:0521895936
Language:English
File size:2 Mb
Publisher: Cambridge University Press
Pages: 280
Publish Date: 2008-09-15
ISBN: 0521895936
File Type: PDF
File Size: 2 MB
   Science/Engineering Chaos and Coarse Graining in Statistical Mechanics

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Chaos and Coarse Graining in Statistical Mechanics

Product Description:

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.

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