An Introduction to Chaos in Nonequilibrium Statistical Mechanics

Häftad, Engelska, 1999

Del 14 i serien Cambridge Lecture Notes in Physics

1 051 kr

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Beskrivning

This book is an introduction to the applications in nonequilibrium statistical mechanics of chaotic dynamics, and also to the use of techniques in statistical mechanics important for an understanding of the chaotic behaviour of fluid systems. The fundamental concepts of dynamical systems theory are reviewed and simple examples are given. Advanced topics including SRB and Gibbs measures, unstable periodic orbit expansions, and applications to billiard-ball systems, are then explained. The text emphasises the connections between transport coefficients, needed to describe macroscopic properties of fluid flows, and quantities, such as Lyapunov exponents and Kolmogorov-Sinai entropies, which describe the microscopic, chaotic behaviour of the fluid. Later chapters consider the roles of the expanding and contracting manifolds of hyperbolic dynamical systems and the large number of particles in macroscopic systems. Exercises, detailed references and suggestions for further reading are included.

Produktinformation

Utgivningsdatum:1999-08-28
Mått:151 x 229 x 17 mm
Vikt:440 g
Format:Häftad
Språk:Engelska
Serie:Cambridge Lecture Notes in Physics
Antal sidor:304
Förlag:Cambridge University Press
ISBN:9780521655897

Utforska kategorier

Fysik inom Naturvetenskap och teknik

Recensioner i media

'This book is a convincing invitation to modern mathematical concepts and new techniques. It will prove useful and attractive to graduate students and teachers in this active field.' Yves Elskens, Mathematical Reviews

Innehållsförteckning

Preface; 1. Non-equilibrium statistical mechanics; 2. The Boltzmann equation; 3. Liouville's equation; 4. Poincaré recurrence theorem; 5. Boltzmann's ergodic hypothesis; 6. Gibbs' picture-mixing systems; 7. The Green-Kubo formulae; 8. The Baker's transformation; 9. Lyapunov exponents for a map; 10. The Baker's transformation is ergodic; 11. Kolmogorov-Sinai entropy; 12. The Frobenius-Perron equation; 13. Open systems and escape-rates; 14. Transport coefficients and chaos; 15. SRB and Gibbs measures; 16. Fractal forms in Green-Kubo relations; 17. Unstable periodic orbits; 18. Lorentz lattice gases; 19. Dynamical foundations of the Boltzmann equation; 20. The Boltzmann equation returns; 21. What's next; Appendices; Bibliography.

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An Introduction to Chaos in Nonequilibrium Statistical Mechanics

AvJ. R. Dorfman,Peter Goddard

Häftad, Engelska, 1999

Del 14 i serien Cambridge Lecture Notes in Physics

1 051 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:1999-08-28
Mått:151 x 229 x 17 mm
Vikt:440 g
Format:Häftad
Språk:Engelska
Serie:Cambridge Lecture Notes in Physics
Antal sidor:304
Förlag:Cambridge University Press
ISBN:9780521655897

Utforska kategorier

Fysik inom Naturvetenskap och teknik

Recensioner i media

Innehållsförteckning

Preface; 1. Non-equilibrium statistical mechanics; 2. The Boltzmann equation; 3. Liouville's equation; 4. Poincaré recurrence theorem; 5. Boltzmann's ergodic hypothesis; 6. Gibbs' picture-mixing systems; 7. The Green-Kubo formulae; 8. The Baker's transformation; 9. Lyapunov exponents for a map; 10. The Baker's transformation is ergodic; 11. Kolmogorov-Sinai entropy; 12. The Frobenius-Perron equation; 13. Open systems and escape-rates; 14. Transport coefficients and chaos; 15. SRB and Gibbs measures; 16. Fractal forms in Green-Kubo relations; 17. Unstable periodic orbits; 18. Lorentz lattice gases; 19. Dynamical foundations of the Boltzmann equation; 20. The Boltzmann equation returns; 21. What's next; Appendices; Bibliography.