| Dewey Class |
519.2 |
| Title |
Hard Ball Systems and the Lorentz Gas ([EBook]) / 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. Simányi, Ya. Sinai, D. Szász, T. Tél, H. van Beijeren, R. van Zon, J. Vollmer, L. S. Young ; edited by D. Szász. |
| Author |
Bunimovich, Leonid A. |
| Added Personal Name |
Burago, Jurij Dmitrievič |
| Chernov, N. |
| Cohen, E. G. D. |
| Dettmann, C. P. |
| Dorfman, J. R. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : Springer , 2000. |
| Physical Details |
VIII, 458 pages : online resource. |
| Series |
Encyclopaedia of Mathematical Sciences, Mathematical Physics II 0938-0396 ; ; 101 |
| ISBN |
9783662040621 |
| Summary Note |
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.: |
| Contents note |
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? |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-662-04062-1 |
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