LYAPUNOV EXPONENTS OF SYSTEMS WITH ELASTIC HARD COLLISIONS

被引:38
作者
DELLAGO, C
POSCH, HA
机构
[1] Institut für Experimentalphysik, Universität Wien, A-1090 Wien
关键词
D O I
10.1103/PhysRevE.52.2401
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Benettin's classical method for the calculation of the Lyapunov exponent spectra of smooth hows is applied to the case of systems with elastic hard collisions. As illustrative examples the maximum Lyapunov exponent is calculated for the two-dimensional periodic Lorentz gas over a wide density range,and for the Sinai stadium billiard.
引用
收藏
页码:2401 / 2406
页数:6
相关论文
共 24 条
[1]  
[Anonymous], 1970, RUSS MATH SURV, DOI [10.1070/RM1970v025n02ABEH003794, DOI 10.1070/RM1970V025N02ABEH003794]
[2]   NUMERICAL EXPERIMENTS ON FREE MOTION OF A POINT MASS MOVING IN A PLANE CONVEX REGION - STOCHASTIC TRANSITION AND ENTROPY [J].
BENETTIN, G ;
STRELCYN, JM .
PHYSICAL REVIEW A, 1978, 17 (02) :773-785
[3]  
Benettin G., 1980, MECCANICA, V15, P9, DOI DOI 10.1007/BF02128236
[4]   UNSTABLE PERIODIC-ORBITS IN THE STADIUM BILLIARD [J].
BIHAM, O ;
KVALE, M .
PHYSICAL REVIEW A, 1992, 46 (10) :6334-6339
[5]  
Bunimovich L.A., 1974, FUNCT ANAL APPL, V8, P254, DOI DOI 10.1007/BF01075700
[6]   STATISTICAL PROPERTIES OF 2-DIMENSIONAL HYPERBOLIC BILLIARDS [J].
BUNIMOVICH, LA ;
SINAI, YG ;
CHERNOV, NI .
RUSSIAN MATHEMATICAL SURVEYS, 1991, 46 (04) :47-106
[7]   ERGODIC PROPERTIES OF NOWHERE DISPERSING BILLIARDS [J].
BUNIMOVICH, LA .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 65 (03) :295-312
[8]   STEADY-STATE ELECTRICAL-CONDUCTION IN THE PERIODIC LORENTZ GAS [J].
CHERNOV, NI ;
EYINK, GL ;
LEBOWITZ, JL ;
SINAI, YG .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 154 (03) :569-601
[9]   Investigation of the Lorentz gas in terms of periodic orbits [J].
Cvitanovic, Predrag ;
Gaspard, Pierre ;
Schreiber, Thomas .
CHAOS, 1992, 2 (01) :85-90
[10]  
DELLAGO C, IN PRESS PHYS REV E