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Fully Chaotic Maps and Broken Time Symmetry by Dean J. Driebe
Fully Chaotic Maps and Broken Time Symmetry by Dean J. Driebe
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Fully Chaotic Maps and Broken Time Symmetry

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Description

This is the first book providing an introduction to a new approach to the nonequilibrium statistical mechanics of chaotic systems. It shows how the dynamical problem in fully chaotic maps may be solved on the level of evolving probability densities. On this level, time evolution is governed by the Frobenius-Perron operator. Spectral decompositions of this operator for a variety of systems are constructed in generalized function spaces. These generalized spectral decompositions are of special interest for systems with invertible trajectory dynamics, as on the statistical level the new solutions break time symmetry and allow for a rigorous understanding of irreversibility. Several techniques for the construction of explicit spectral decompositions are given. Systems ranging from the simple one-dimensional Bernoulli map to an invertible model of deterministic diffusion are treated in detail. Audience: Postgraduate students and researchers in chaos, dynamical systems and statistical mechanics.
Release date Australia
December 6th, 2010
Audience
  • Professional & Vocational
Edition
Softcover reprint of the original 1st ed. 1999
Illustrations
X, 166 p.
Pages
166
Dimensions
155x235x9
ISBN-13
9789048151684
Product ID
8963460

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