ANOMALOUS DIFFUSION IN THE KURAMOTO-SIVASHINSKY EQUATION

被引：34

作者：

BOHR, T

PIKOVSKY, A

机构：

[1] UNIV POTSDAM,ARBEITSGRP NICHTLINEARE DYNAM,O-1571 POTSDAM,GERMANY

[2] UNIV CALIF SANTA BARBARA,INST THEORET PHYS,SANTA BARBARA,CA 93106

来源：

PHYSICAL REVIEW LETTERS | 1993年 / 70卷 / 19期

关键词：

D O I：

10.1103/PhysRevLett.70.2892

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the motion of advected particles in the Kuramoto-Sivashinsky equation. We give numerical evidence as well as analytical arguments for anomalous diffusion in which the particle displacement DELTAr satisfies [[DELTAr(t)]2] is similar to t(eta) where eta > 1. We show that if the flow is initially seeded with many particles, they will coalesce in time and that a passive scalar density tends to an asymptotic (time dependent) distribution, which, for given initial conditions on the velocity field, is independent of the initial distribution of the passive scalar.

引用

页码：2892 / 2895

页数：4

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