Turbulent diffusion for the radial twist map

IF 2.9 3区数学 Q1 MATHEMATICS, APPLIED Physica D: Nonlinear Phenomena Pub Date : 1985-01-01 Epub Date: 2002-09-16 DOI:10.1016/0167-2789(85)90178-2

Tadatsugu Hatori, Tetsuo Kamimura, Yoshi H. Ichikawa

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Abstract

An analytical tool is given to study the statistical properties of the radial twist map, X_n+1 = X_n + α(Y_n+1) and Y_n+1 = Y_n + Af (X_n), with arbitrary rotation number α(Y) and arbitrary periodic force f(X). The case for which f(X) = sin 2 πX and with arbitrary α is treated in the region of large A. The turbulent diffusion coefficient D for the chaotic orbit relaxes as

t^{−12}

A^{2} 4

, except for the case of the standard map, where the eventual value of D is different from

A^{2} 4

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径向扭曲图的湍流扩散

给出了具有任意旋转数α(Y)和任意周期力f(X)的径向扭转映射Xn+1 = Xn+ α(Yn+1)和Yn+1 = Yn+ Af （Xn）的统计性质的分析工具。对于f(X) = sin2 πX且α任意的情况，在大a区域内处理。混沌轨道的湍流扩散系数D从t - 12松弛到A24，除了标准映射的情况，D的最终值与A24不同。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.