An Introduction to Chaos in Nonequilibrium Statistical Mechanics
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Home > Mathematics and Science Textbooks > Physics > Statistical physics > An Introduction to Chaos in Nonequilibrium Statistical Mechanics: (Series Number 14 Cambridge Lecture Notes in Physics)
An Introduction to Chaos in Nonequilibrium Statistical Mechanics: (Series Number 14 Cambridge Lecture Notes in Physics)

An Introduction to Chaos in Nonequilibrium Statistical Mechanics: (Series Number 14 Cambridge Lecture Notes in Physics)


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About the Book

This book provides an introduction to nonequilibrium statistical mechanics applied to ideas in chaotic dynamics. The author illustrates how techniques in statistical mechanics can be used to calculate quantities that are essential to understanding the chaotic behavior of fluid systems. Beginning with important background information, the volume goes on to introduce basic concepts of dynamical systems theory through simple examples before explaining advanced topics such as SRB and Gibbs measures. It will be of great interest to graduate students and researchers in condensed matter physics, nonlinear science, theoretical physics, mathematics, and theoretical chemistry.

Table of Contents:
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.

Review :
'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 'I recommend it highly ... this book successfully gives its audience a unique and accessible up-to-date exposition of the mathematical foundation of Boltzmann's statistical mechanics based on the modern ergotic theory of chaotic dynamical systems. This book will be valuable to applied mathematicians and theoretical physicists alike.' Hong Qian, Bulletin of Mathematical Biology 'It gives a good introduction to modern research in transport theory which relates macroscopic properties of large systems to underlying microscopic dynamics. The book does not pretend to be mathematically rigorous but presents an extremely readable account of the conceptual foundations of nonequilibrium statistical mechanics. To summarize, this is a very well written and readable book by one of the experts in the field. Its emphasis on conceptual developments, illustrated by simple dynamical models provides interesting reading not just for specialists, but also for a more general physical audience seeking a better understanding of the current status of the conceptual foundations of nonequilibrium statistical mechanics.' Rudi Podgornik, Journal of Statistical Physics '... presents an extremely readable account of the conceptual foundations of nonequilibrium statistical mechanics ... a very well written and readable book by one of the experts in the field ... interesting reading not just for specialists, but also for a more general physical audience seeking a better understanding of the current status of the conceptual foundations of nonequilibrium statistical mechanics.' Rudi Podgornik, Journal of Statistical Physics 'The book presents a beautiful and detailed introduction to the major ideas behind modern developments in (classical) nonequilibrium statistical mechanics. ... a very valuable, enjoyable, and useful book to be highly recommended to any student or professional in the field of statistical mechanics at large.' SIAM Review


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Product Details
  • ISBN-13: 9780521655897
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 229 mm
  • No of Pages: 304
  • Returnable: N
  • Series Title: Series Number 14 Cambridge Lecture Notes in Physics
  • Weight: 498 gr
  • ISBN-10: 0521655897
  • Publisher Date: 28 Aug 1999
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Spine Width: 17 mm
  • Width: 153 mm


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An Introduction to Chaos in Nonequilibrium Statistical Mechanics: (Series Number 14 Cambridge Lecture Notes in Physics)
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