Dynamics of vortex lines in the three-dimensional complex Ginzburg-Landau equation: Instability, stretching, entanglement, and helices

被引：25

作者：

Aranson, IS

Bishop, AR

Kramer, L

机构：

[1] Argonne Natl Lab, Argonne, IL 60439 USA

[2] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel

[3] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[4] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

[5] Univ Bayreuth, Dept Phys, D-95440 Bayreuth, Germany

来源：

PHYSICAL REVIEW E | 1998年 / 57卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.57.5276

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：

The dynamics of curved vortex filaments is studied analytically and numerically in the framework of a three-dimensional complex Ginzburg-Landau equation (CGLE). It is shown that a straight vortex line is unstable with respect to spontaneous stretching and bending in a substantial range of parameters of the COLE, resulting in formation of persistent entangled vortex configurations. The boundary of the three-dimensional instability in parameter space is determined. Near the stability boundary, the supercritical saturation of the instability is found, resulting in the formation of stable helicoidal vortices.

引用

页码：5276 / 5286

页数：11

共 35 条

[1] Sources and sinks separating domains of left-and right-traveling waves: Experiment versus amplitude equations [J].