Note on chaos and diffusion

被引：15

作者：

Dettmann, CP ^{[1
]}

Cohen, EGD ^{[1
]}

机构：

[1] Rockefeller Univ, New York, NY 10021 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2001年 / 103卷 / 3-4期

关键词：

microscopic chaos; Gaussian diffusion; Lorentz gas; wind-tree model; Brownian motion; multiple time correlations; recurrences; probability;

D O I：

10.1023/A:1010345417058

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using standard definitions of chaos (as positive Kolmogorov-Sinai entropy) and diffusion (that multiple time distribution functions are Gaussian), we show numerically that both chaotic and nonchaotic systems exhibit diffusion. and hence that there is no direct logical connection between the two properties. This extends a previous result for two time distribution functions.

引用

收藏

页码：589 / 599

页数：11

相关论文

共 9 条

[1] Microscopic chaos and diffusion [J].

Dettmann, CP ;

Cohen, EGD .

JOURNAL OF STATISTICAL PHYSICS, 2000, 101 (3-4) :775-817

[2] Statistical mechanics - Microscopic chaos from brownian motion? [J].

Dettmann, CP ;

Cohen, EGD ;

van Beijeren, H .

NATURE, 1999, 401 (6756) :875-875

[3] Experimental evidence for microscopic chaos [J].

Gaspard, P ;

Briggs, ME ;

Francis, MK ;

Sengers, JV ;

Gammons, RW ;

Dorfman, JR ;

Calabrese, RV .

NATURE, 1998, 394 (6696) :865-868

[4]

GOLDSTEIN S, 1975, LECT NOTE PHYS, V38, P112

[5] TIME EVOLUTION OF TOTAL DISTRIBUTION FUNCTION OF A 1-DIMENSIONAL SYSTEM OF HARD RODS [J].

LEBOWITZ, JL ;

PERCUS, JK ;

SYKES, J .

PHYSICAL REVIEW, 1968, 171 (01) :224-+

[6] KINETIC EQUATIONS AND DENSITY EXPANSIONS - EXACTLY SOLVABLE 1-DIMENSIONAL SYSTEM [J].

LEBOWITZ, JL ;

PERCUS, JK .

PHYSICAL REVIEW, 1967, 155 (01) :122-&

[7]

Norris J.R., 1997, Markov Chains

[8] STATISTICAL DYNAMICS OF SIMPLE CUBIC LATTICES - MODEL FOR THE STUDY OF BROWNIAN MOTION [J].

RUBIN, RJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1960, 1 (04) :309-318

[9] STATISTICAL DYNAMICS OF SIMPLE CUBIC LATTICES - MODEL FOR STUDY OF BROWNIAN MOTION .2 [J].

RUBIN, RJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1961, 2 (03) :373-+