Entropy, Lyapunov exponents, and mean free path for billiards

被引：85

作者：

Chernov, N

机构：

[1] Department of Mathematics, University of Alabama at Birmingham, Birmingham

来源：

JOURNAL OF STATISTICAL PHYSICS | 1997年 / 88卷 / 1-2期

关键词：

billiards; hard balls; Lorentz gas; entropy; mean free path; Lyapunov exponents;

D O I：

10.1007/BF02508462

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review known results and derive some new ones about the mean free path, Kolmogorov-Sinai entropy, and Lyapunov exponents for billiard-type dynamical systems. We focus on exact and asymptotic formulas for these quantities. The dynamical systems covered in this paper include the priodic Lorentz gas, the stadium and its modifications, and the gas of hard balls. Some open questions and numerical observations are discussed.

引用

页码：1 / 29

页数：29

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