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9783642087110: Hard Ball Systems and the Lorentz Gas: 101 (Encyclopaedia of Mathematical Sciences, 101)
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Hard Ball Systems and the Lorentz Gas are fundamental models arising in the theory of Hamiltonian dynamical systems. Moreover, in these models, some key laws of statistical physics can also be tested or even established by mathematically rigorous tools. The mathematical methods are most beautiful but sometimes quite involved. This collection of surveys written by leading researchers of the fields - mathematicians, physicists or mathematical physicists - treat both mathematically rigourous results, and evolving physical theories where the methods are analytic or computational. Some basic topics: hyperbolicity and ergodicity, correlation decay, Lyapunov exponents, Kolmogorov-Sinai entropy, entropy production, irreversibility. This collection is a unique introduction into the subject for graduate students, postdocs or researchers - in both mathematics and physics - who want to start working in the field.

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"... The reviews have been written for a non-specialist mature audience and are quite accessible, even in the first part. The bibliography is very generous. Overall, the book constitutes an excellent introduction into this active, sometimes controversial, field. Anybody interested in the recent advances of dynamical systems theory applied to non-equilibrium statistical mechanics will find this book of use. ..."

Daniel Wójcik, Pure and Applied Geophysics 160, p. 1376-1378, 2003

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  • PublisherSpringer
  • Publication date2010
  • ISBN 10 3642087116
  • ISBN 13 9783642087110
  • BindingPaperback
  • Number of pages466
  • EditorSzasz D.

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9783540676201: Hard Ball Systems and the Lorentz Gas: 101 (Encyclopaedia of Mathematical Sciences, 101)

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Book Description Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Hard Ball Systems and the Lorentz Gas are fundamental models arising in the theory of Hamiltonian dynamical systems. Moreover, in these models, some key laws of statistical physics can also be tested or even established by mathematically rigorous tools. The mathematical methods are most beautiful but sometimes quite involved. This collection of surveys written by leading researchers of the fields - mathematicians, physicists or mathematical physicists - treat both mathematically rigourous results, and evolving physical theories where the methods are analytic or computational. Some basic topics: hyperbolicity and ergodicity, correlation decay, Lyapunov exponents, Kolmogorov-Sinai entropy, entropy production, irreversibility. This collection is a unique introduction into the subject for graduate students, postdocs or researchers - in both mathematics and physics - who want to start working in the field. 468 pp. Englisch. Seller Inventory # 9783642087110

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L.A. Bunimovich|D. Burago|N. Chernov|E.G.D. Cohen|C.P. Dettmann|J.R. Dorfman|S. Ferleger|R. Hirschl|A. Kononenko|J.L. Lebowitz|C. Liverani|T.J. Murphy|J. Piasecki|H.A. Posch|N. Simanyi|Ya. Sinai|D. Szasz|T. Tel|H. van Beijeren|R. van Zon|J. Vollmer|L.S. Y
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Book Description Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Hard Ball Systems and the Lorentz Gas are fundamental models arising in the theory of Hamiltonian dynamical systems. Moreover, in these models, some key laws of statistical physics can also be tested or even established by mathematically rigorous tools. The mathematical methods are most beautiful but sometimes quite involved. This collection of surveys written by leading researchers of the fields - mathematicians, physicists or mathematical physicists - treat both mathematically rigourous results, and evolving physical theories where the methods are analytic or computational. Some basic topics: hyperbolicity and ergodicity, correlation decay, Lyapunov exponents, Kolmogorov-Sinai entropy, entropy production, irreversibility. This collection is a unique introduction into the subject for graduate students, postdocs or researchers - in both mathematics and physics - who want to start working in the field. Seller Inventory # 9783642087110

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L.A. Bunimovich/ D. Burago/ N. Chernov/ E.G.D. Cohen/ C.P. Dettmann/ J.R. Dorfman/ S. Ferleger/ R. Hirschl/ A. Kononenko/ J.L. Lebowitz/ C. Liverani/ T.J. Murphy/ J. Piasecki/ H.A. Posch/ N. Simanyi/ Ya. Sinai/ T. Tel/ H. van Beijeren/ R. van Zon/ J. Voll
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