Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems

被引：30

作者：

Korabel, N ^{[1
]}

Klages, R ^{[1
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 21期

关键词：

D O I：

10.1103/PhysRevLett.89.214102

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A paradigmatic nonhyperbolic dynamical system exhibiting deterministic diffusion is the smooth nonlinear climbing sine map. We find that this map generates fractal hierarchies of normal and anomalous diffusive regions as functions of the control parameter. The measure of these self-similar sets is positive, parameter dependent, and in case of normal diffusion it shows a fractal diffusion coefficient. By using a Green-Kubo formula we link these fractal structures to the nonlinear microscopic dynamics in terms of fractal Takagi-like functions.

引用

页数：4

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