ENGLISH

Hard Ball Systems and the Lorentz Gas

By J. L. Lebowitz , J. R. Dorfman , H. Van Beijeren , D. Burago , N. Chernov , S. Ferleger , R. Hirschl , A. Kononenko , C. Liverani , J. Piasecki , N. Simanyi , D. Szasz , T. J. Murphy , D. Szász (eds.) , L. A. Bunimovich , E. G. D. Cohen , C. P. Dettmann , H. A. Posch , Ya. Sinai , T. Tél , R. van Zon , J. Vollmer , L. S. Young (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2000
ISBN
978-3-642-08711-0, 978-3-662-04062-1
DOI
10.1007/978-3-662-04062-1
Language
english
Format
PDF
Filesize
10 MB (10262964 bytes)
Series
Encyclopaedia of Mathematical Sciences 101
Edition
1
Pages
458\458
Time added
2014-01-18 08:00:00
Mathematical and Computational Physics; AnalysisProbability Theory and Stochastic Processes; Theor

Description

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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