Details

Autor(en) / Beteiligte

• Bunimovich, L. A
• Burago, D
• Chernov, N
• Cohen, E. G. D
• Dettmann, C. P
• Dorfman, J. R
• Ferleger, S
• Hirschl, R
• Kononenko, A
• Lebowitz, J. L
• Liverani, C
• Murphy, T. J
• Piasecki, J
• Posch, H. A
• Simányi, N
• Sinai, Ya
• Szász, D
• Tél, T
• Beijeren, H
• Zon, R
• Vollmer, J
• Young, L. S

Titel

Hard Ball Systems and the Lorentz Gas [Elektronische Ressource]

Ist Teil von

• Encyclopaedia of Mathematical Sciences, Mathematical Physics II : 101

Ort / Verlag

Berlin, Heidelberg : Springer Berlin Heidelberg

Erscheinungsjahr

2000

Link zu anderen Inhalten

• Volltext

Beschreibungen/Notizen

• 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