Channeling and percolation in two-dimensional chaotic dynamics

被引：39

作者：

Chaikovsky, D. K. ^{[1
]}

Zaslavsky, G. M. ^{[1
]}

机构：

[1] Acad Sci USSR, Inst Space Res, Moscow 117810, Russia

来源：

CHAOS | 1991年 / 1卷 / 04期

关键词：

D O I：

10.1063/1.165856

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Hamiltonian dynamics of a particle moving in a nearly periodic two-dimensional (2-D) potential of square symmetry is analyzed. The particle undergoes two types of unbounded stochastic or random walks in such a system: a quasi-1-D motion (a "stochastic channeling") and a 2-D motion which results from a sort of stochastic percolation. A scenario for the onset of this stochastic percolation is analyzed. The threshold energy for percolation is found as a function of the perturbation parameter. Each type of random walk has the property of intermittency. The particle transport is anomalous in certain energy intervals.

引用

页码：463 / 472

页数：10

共 27 条

[1]

Afanasiev Valerii V., 1991, Chaos, V1, P143, DOI 10.1063/1.165824

[2] DIFFUSION IN A 2-DIMENSIONAL PERIODIC POTENTIAL [J].

BAGCHI, B ;

ZWANZIG, R ;

MARCHETTI, MC .

PHYSICAL REVIEW A, 1985, 31 (02) :892-896

[3] STRUCTURES AND 2D FLUID-FLOW SYMMETRY [J].

BELOSHAPKIN, VV ;

CHERNIKOV, AA ;

SAGDEEV, RZ ;

ZASLAVSKY, GM .

PHYSICS LETTERS A, 1988, 133 (7-8) :395-398

[4] THE HAMILTONIAN METHOD FOR QUASI-CRYSTAL SYMMETRY [J].

CHERNIKOV, AA ;

SAGDEEV, RZ ;

USIKOV, DA ;

ZASLAVSKY, GM .

PHYSICS LETTERS A, 1987, 125 (2-3) :101-106

[5] 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

[6] RESONANCES AND DIFFUSION IN PERIODIC HAMILTONIAN MAPS [J].

DANA, I ;

MURRAY, NW ;

PERCIVAL, IC .

PHYSICAL REVIEW LETTERS, 1989, 62 (03) :233-236

[7]

Ding M., 1990, PREPRINT

[8] GENERIC 1/F NOISE IN CHAOTIC HAMILTONIAN-DYNAMICS [J].

GEISEL, T ;

ZACHERL, A ;

RADONS, G .

PHYSICAL REVIEW LETTERS, 1987, 59 (22) :2503-2506

[9]

GEIZEL T, 1988, Z PHYS B, V71, P117

[10] ANOMALOUS ION CONDUCTION FROM TOROIDAL DRIFT MODES [J].

HORTON, W .

PLASMA PHYSICS AND CONTROLLED FUSION, 1981, 23 (12) :1107-1125

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