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＜電子ブック＞
Hard Ball Systems and the Lorentz Gas / by 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. Young ; edited by D. Szasz
(Encyclopaedia of Mathematical Sciences ; 101)

版	1st ed. 2000.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2000
本文言語	英語
大きさ	VIII, 458 p : online resource
著者標目	*Bunimovich, L.A author Burago, D author Chernov, N author Cohen, E.G.D author Dettmann, C.P author Dorfman, J.R author Ferleger, S author Hirschl, R author Kononenko, A author Lebowitz, J.L author Liverani, C author Murphy, T.J author Piasecki, J author Posch, H.A author Simanyi, N author Sinai, Ya author Szasz, D author Tel, T author Beijeren, H. van author Zon, R. van author Vollmer, J author Young, L.S author Szasz, D editor SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical physics LCSH:Mathematical analysis FREE:Probability Theory FREE:Theoretical, Mathematical and Computational Physics FREE:Analysis
一般注記	Part I. Mathematics: D. Burago et al.: A Geometric Approach to Semi-Dispersing Billiards; T.J. Murphy et al.: On the Sequences of Collisions Among Hard Spheres in Infinite Space; N. Simányi: Hard Ball Systems and Semi-Dispersive Billiards: Hyperbolicity and Ergodicity; N. Chernov et al.: Decay of Correlations for Lorentz Gases and Hard Balls; N. Chernov: Entropy Values and Entropy Bounds; L.A. Bunimovich: Existence of Transport Coefficients; C. Liverani: Interacting Particles; J.L. Lebowitz et al.: Scaling Dynamics of a Massive Piston in an Ideal Gas -- Part II. Physics: H. van Beijeren et al.: Kinetic Theory Estimates for the Kolmogorov-Sinai Entropy, and the Largest Lyapunov Exponents for Dilute, Hard-Ball Gases and for Dilute, Random Lorentz Gases; H.A. Posch et al.: Simulation of Billiards and of Hard-Body Fluids; C.P. Dettmann: The Lorentz Gas: a Paradigm for Nonequilibrium Stationary States; T. Tél et al.: Entropy Balance, Multibaker Maps, and the Dynamics of the Lorentz Gas -- Appendix D. Szász: Boltzmann's Ergodic Hypothesis, a Conjecture for Centuries? 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 HTTP:URL=https://doi.org/10.1007/978-3-662-04062-1

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