Self-similarity and transport in the standard map

被引：80

作者：

Benkadda, S

Kassibrakis, S

White, RB

Zaslavsky, GM

机构：

[1] NYU, COURANT INST MATH SCI, NEW YORK, NY 10012 USA

[2] NYU, DEPT PHYS, NEW YORK, NY 10003 USA

[3] UNIV AIX MARSEILLE 1, EQUIPE TURBULENCE PLASMA, CNRS URA 773, INST MEDITERRANEEN TECHNOL, F-13451 MARSEILLE 20, FRANCE

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 05期

关键词：

LONG-TIME CORRELATIONS; CHIRIKOV-TAYLOR MODEL; AREA-PRESERVING MAPS; ANOMALOUS DIFFUSION; ACCELERATOR MODES; CHAOS; SYSTEMS;

D O I：

10.1103/PhysRevE.55.4909

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：

Anomalous transport is investigated for the standard map. A chain of exact self-similar islands in the vicinity of the period 5 accelerator island is found for a particular value of the map parameter. The transport is found to be superdiffusive with an anomalous exponent related to the characteristic temporal and spatial scaling parameters of the island chain. The value of the transport exponent is compared to the theory. The escape time distribution and Poincare recurrence distribution are found to have powerlike tails and the corresponding exponents are obtained and compared to the theory.

引用

页码：4909 / 4917

页数：9

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