Hard ball systems and the Lorentz gas /
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 bu...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; London :
Springer,
[2000]
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| Series: | Encyclopaedia of mathematical sciences ;
v. 101. Encyclopaedia of mathematical sciences. Mathematical physics. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Geometric approach to semi-dispersing billiards / D. Burago, S. Ferleger and A. Kononenko
- On the sequences of collisions among hard spheres in infinite space / T.J. Murphy and E.G.D. Cohen
- Hard ball systems and semi-dispersive billiards / N. Simányi
- Decay of correlations for Lorentz gases and hard balls / N. Chernov and L.-S. Young
- Entropy values and entropy bounds / N. Chernov
- Existence of transport coefficients / L.A. Bunimovich
- Interacting particles / C. Liverani
- Scaling dynamics of a massive piston in an ideal gas / J.L. Lebowitz, J. Piasecki, and Ya. Sinai
- Kinetic theory estimates for the Kolmogorov-Sinai entropy, and the largest Lyapunov exponents for dilute, hard balls gases and for dilute, random Lorentz gases / R. van Zon, H. van Beijeren and J.R. Dorfman
- Simulation of billiards and of hard body fluids / H.A. Posch and R. Hirschl
- Lorentz gas / C.P. Dettmann
- Entropy balance, multibaker maps, and the dynamics of the Lorentz gas / T. Tél and J. Vollmer
- Boltzmann's ergodic hypothesis, a conjecture for centuries? / D. Szász.