Investigation of the Lorentz gas in terms of periodic orbits

被引：84

作者：

Cvitanovic, Predrag ^{[1
]}

Gaspard, Pierre ^{[1
,2
]}

Schreiber, Thomas ^{[1
,3
]}

机构：

[1] Niels Bohr Inst, DK-2100 Copenhagen 0, Denmark

[2] Univ Libre Bruxelles, B-1050 Brussels, Belgium

[3] Univ Wuppertal, Dept Phys, D-5600 Wuppertal 1, Germany

来源：

CHAOS | 1992年 / 2卷 / 01期

关键词：

D O I：

10.1063/1.165902

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The diffusion constant and the Lyapunov exponent for the spatially periodic Lorentz gas are evaluated numerically in terms of periodic orbits. A symbolic description of the dynamics reduced to a fundamental domain is used to generate the shortest periodic orbits. Applied to a dilute Lorentz gas with finite horizon, the theory works well, but for the dense Lorentz gas the convergence is hampered by the strong pruning of the admissible orbits.

引用

页码：85 / 90

页数：6

共 17 条

[1] RECYCLING OF STRANGE SETS .1. CYCLE EXPANSIONS
ARTUSO, R
AURELL, E
CVITANOVIC, P
[J]. NONLINEARITY, 1990, 3 (02) : 325 - 359
[2] Artuso R., PHYS LETT A IN PRESS
[3] Bowen R., 1975, SPRINGER LECT NOTES, V470
[4] MARKOV PARTITIONS FOR DISPERSED BILLIARDS
BUNIMOVICH, LA
SINAI, YG
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 78 (02) : 247 - 280
[5] CORRECTION
BUNIMOVICH, LA
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 107 (02) : 357 - 358
[6] BUNIMOVICH LA, 1980, COMMUN MATH PHYS, V78, P479
[7] Christiansen F., COMMUNICATION
[8] PERIODIC ORBIT EXPANSIONS FOR CLASSICAL SMOOTH FLOWS
CVITANOVIC, P
ECKHARDT, B
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (05): : L237 - L241
[9] Cvitanovic P., 1991, TRANSPORT PROPERTIES
[10] Eckhardt B., NONLINEARITY UNPUB

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