An Introduction to Chaos in Nonequilibrium Statistical Mechanics

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9780521655897: An Introduction to Chaos in Nonequilibrium Statistical Mechanics

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.

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Recensione:

'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

Descrizione del libro:

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. Of interest to graduate students and researchers with a background in statistical mechanics.

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Dorfman, J. Robert
Editore: Cambridge University Press 2003-06 (2003)
ISBN 10: 0521655897 ISBN 13: 9780521655897
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Descrizione libro Cambridge University Press 2003-06, 2003. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06888614

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J. R. Dorfman
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2003. Paperback. Condizione libro: New. New.. 226 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****. 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. Codice libro della libreria AAV9780521655897

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J. R. Dorfman
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2003)
ISBN 10: 0521655897 ISBN 13: 9780521655897
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2003. Paperback. Condizione libro: New. New.. 226 x 152 mm. Language: English . Brand New Book ***** Print on Demand *****.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. Codice libro della libreria AAV9780521655897

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ISBN 10: 0521655897 ISBN 13: 9780521655897
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Descrizione libro Cambridge University Press, 1999. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780521655897

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Dorfman, J. R.
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Descrizione libro Cambridge University Press, 1999. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780521655897

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Dorfman, J. Robert
Editore: Cambridge University Press (2016)
ISBN 10: 0521655897 ISBN 13: 9780521655897
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Descrizione libro Cambridge University Press, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780521655897_lsuk

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Dorfman, J. Robert;Dorfman, Robert
Editore: Spain: Cambridge Univ Pr (1999)
ISBN 10: 0521655897 ISBN 13: 9780521655897
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Descrizione libro Spain: Cambridge Univ Pr, 1999. Soft cover. Condizione libro: New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,ht. Codice libro della libreria ABE-6575857985

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J. R. Dorfman/ Robert Dorfman
Editore: Cambridge Univ Pr (1999)
ISBN 10: 0521655897 ISBN 13: 9780521655897
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Descrizione libro Cambridge Univ Pr, 1999. Paperback. Condizione libro: Brand New. 287 pages. 8.75x5.75x0.75 inches. In Stock. Codice libro della libreria __0521655897

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J. R. DORFMAN
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Descrizione libro 1999. Paperback. Condizione libro: NEW. 9780521655897 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0468507

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Descrizione libro Condizione libro: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Codice libro della libreria POD_9780521655897

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