ENTROPY, LYAPUNOV EXPONENTS, AND MEAN FREE-PATH FOR BILLIARDS

Authors
CHERNOV N
Citation
N. Chernov, ENTROPY, LYAPUNOV EXPONENTS, AND MEAN FREE-PATH FOR BILLIARDS, Journal of statistical physics, 88(1-2), 1997, pp. 1-29
Citations number
38
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
88
Issue
1-2
Year of publication
1997
Pages
1 - 29
Database
ISI
SICI code
0022-4715(1997)88:1-2<1:ELEAMF>2.0.ZU;2-A
Abstract
We review known results and derive some new ones about the mean free p ath, Kolmogorov-Sinai entropy, and Lyapunov exponents for billiard-typ e dynamical systems. We focus on exact and asymptotic formulas for the se quantities. The dynamical systems covered in this paper include the priodic Lorentz gas, the stadium and its modifications, and the gas o f hard balls. Some open questions and numerical observations are discu ssed.