LEVY STATISTICS IN A HAMILTONIAN SYSTEM

被引:178
作者
KLAFTER, J [1 ]
ZUMOFEN, G [1 ]
机构
[1] SWISS FED INST TECHNOL,PHYS CHEM LAB,CH-8092 ZURICH,SWITZERLAND
来源
PHYSICAL REVIEW E | 1994年 / 49卷 / 06期
关键词
D O I
10.1103/PhysRevE.49.4873
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
Enhanced diffusion in a Hamiltonian system is studied in terms of the continuous-time random walk formulation for Levy walks. The previous Levy-walk scheme is extended (i) to include interruptions by periods of temporal localization and (ii) to describe motion in two dimensions. We analyze a case of conservative motion in a two-dimensional periodic potential. Numerical calculations of the mean-squared displacements and the propagators for intermediate energies are consistent with the Levy-walk description.
引用
收藏
页码:4873 / 4877
页数:5
相关论文
共 33 条
[1]   STOCHASTIC PATHWAY TO ANOMALOUS DIFFUSION - COMMENT [J].
BOUCHAUD, JP ;
GEORGES, A .
PHYSICAL REVIEW A, 1990, 41 (02) :1156-1157
[2]   ANOMALOUS DIFFUSION IN A LINEAR-ARRAY OF VORTICES [J].
CARDOSO, O ;
TABELING, P .
EUROPHYSICS LETTERS, 1988, 7 (03) :225-230
[3]   Channeling and percolation in two-dimensional chaotic dynamics [J].
Chaikovsky, D. K. ;
Zaslavsky, G. M. .
CHAOS, 1991, 1 (04) :463-472
[4]   ANOMALOUS TRANSPORT OF STREAMLINES DUE TO THEIR CHAOS AND THEIR SPATIAL TOPOLOGY [J].
CHERNIKOV, AA ;
PETROVICHEV, BA ;
ROGALSKY, AV ;
SAGDEEV, RZ ;
ZASLAVSKY, GM .
PHYSICS LETTERS A, 1990, 144 (03) :127-133
[5]  
CHIRIKOV BV, 1988, RENORMALIZATION GROU
[6]  
DANA I, 1990, PHYS REV LETT, V70, P2387
[7]   DYNAMICS OF MOLECULAR-SURFACE DIFFUSION - ORIGINS AND CONSEQUENCES OF LONG JUMPS [J].
DOBBS, KD ;
DOREN, DJ .
JOURNAL OF CHEMICAL PHYSICS, 1992, 97 (05) :3722-3735
[8]   DIRECT MEASUREMENT OF DIFFUSION BY HOT TUNNELING MICROSCOPY - ACTIVATION-ENERGY, ANISOTROPY, AND LONG JUMPS [J].
GANZ, E ;
THEISS, SK ;
HWANG, IS ;
GOLOVCHENKO, J .
PHYSICAL REVIEW LETTERS, 1992, 68 (10) :1567-1570
[9]   CHAOTIC DIFFUSION AND 1/F-NOISE OF PARTICLES IN TWO-DIMENSIONAL SOLIDS [J].
GEISEL, T ;
ZACHERL, A ;
RADONS, G .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1988, 71 (01) :117-127
[10]   GENERIC 1/F NOISE IN CHAOTIC HAMILTONIAN-DYNAMICS [J].
GEISEL, T ;
ZACHERL, A ;
RADONS, G .
PHYSICAL REVIEW LETTERS, 1987, 59 (22) :2503-2506