DECAY OF A CHAOTIC DYNAMIC SYSTEM

被引:13
作者
DUMONT, RS [1 ]
BRUMER, P [1 ]
机构
[1] UNIV TORONTO,DEPT CHEM,CHEM PHYS THEORY GRP,TORONTO M5S 1A1,ONTARIO,CANADA
关键词
D O I
10.1016/0009-2614(92)80867-B
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Decay of chaotic open stadium billiards is examined numerically. Certain open stadium systems are shown to exhibit other than simple exponential decay (i.e. nonstatistical) behavior. In addition, algebraic long time decay occurs in some cases. Observed decays are modeled with a minimally dynamic hybrid statistical theory based on mixing assumptions. These results are discussed in terms of other related results and those associated with integrable systems.
引用
收藏
页码:565 / 571
页数:7
相关论文
共 10 条
[1]   DECAY OF ORDERED AND CHAOTIC SYSTEMS [J].
BAUER, W ;
BERTSCH, GF .
PHYSICAL REVIEW LETTERS, 1990, 65 (18) :2213-2216
[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]  
DELEON N, 1982, CHEM PHYS LETT, V93, P162, DOI 10.1016/0009-2614(82)83685-3
[4]   NONSTATISTICAL UNIMOLECULAR DECAY IN QUASIPERIODIC SYSTEMS [J].
DUMONT, RS ;
BRUMER, P .
JOURNAL OF CHEMICAL PHYSICS, 1989, 90 (01) :96-104
[5]   DYNAMIC THEORY OF STATISTICAL UNIMOLECULAR DECAY [J].
DUMONT, RS ;
BRUMER, P .
JOURNAL OF PHYSICAL CHEMISTRY, 1986, 90 (16) :3509-3516
[6]   STATISTICAL DYNAMICAL THEORY OF ISOMERIZATION [J].
DUMONT, RS .
JOURNAL OF CHEMICAL PHYSICS, 1989, 91 (08) :4679-4699
[7]  
DUMONT RS, 1987, THESIS U TORONTO
[8]  
GASPARD P, 1989, J CHEM PHYS, V90, P2225, DOI 10.1063/1.456017
[9]   ORIGIN OF LONG-TIME TAILS IN STRONGLY CHAOTIC SYSTEMS [J].
VIVALDI, F ;
CASATI, G ;
GUARNERI, I .
PHYSICAL REVIEW LETTERS, 1983, 51 (09) :727-730
[10]  
Walters P., 2000, INTRO ERGODIC THEORY, V79