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Fully Chaotic Maps and Broken Time Symmetry

Name: Fully Chaotic Maps and Broken Time Symmetry
Brand: Springer
SKU: 01395943
Price: 102.29 EUR
Availability: InStock
Author: D. Driebe
ISBN: 9780792355649

D. Driebe

Language

English

Book Hardback

Libristo code: 01395943

Publishers Springer, February 1999

This is the first book providing an introduction to a new approach to the nonequilibrium statistical... Full description

Libristo code: 01395943

249 b

102.29 €

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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.