Instability and stretching of vortex lines in the three-dimensional complex Ginzburg-Landau equation

被引:19
作者
Aranson, IS
Bishop, AR
机构
[1] ARGONNE NATL LAB,ARGONNE,IL 60439
[2] LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545
[3] LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545
关键词
D O I
10.1103/PhysRevLett.79.4174
中图分类号
O4 [物理学];
学科分类号
0702 ;
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 proved that a straight vortex line is unstable with respect to spontaneous stretching and bending in a certain range of parameters of the CGLE, resulting in formation of persistent entangled vortex configurations. The analysis shows that the standard approach relating the velocity of the filament with the local curvature is insufficient to describe the instability and stretching of vortex lines.
引用
收藏
页码:4174 / 4177
页数:4
相关论文
共 23 条
[1]   CORE INSTABILITY AND SPATIOTEMPORAL INTERMITTENCY OF SPIRAL WAVES IN OSCILLATORY MEDIA [J].
ARANSON, I ;
KRAMER, L ;
WEBER, A .
PHYSICAL REVIEW LETTERS, 1994, 72 (15) :2316-2319
[2]   CONTROLLING SPATIOTEMPORAL CHAOS [J].
ARANSON, I ;
LEVINE, H ;
TSIMRING, L .
PHYSICAL REVIEW LETTERS, 1994, 72 (16) :2561-2564
[3]   FORMATION OF ASYMMETRIC STATES OF SPIRAL WAVES IN OSCILLATORY MEDIA [J].
ARANSON, IS ;
KRAMER, L ;
WEBER, A .
PHYSICAL REVIEW E, 1993, 48 (01) :R9-R12
[4]   THEORY OF INTERACTION AND BOUND-STATES OF SPIRAL WAVES IN OSCILLATORY MEDIA [J].
ARANSON, IS ;
KRAMER, L ;
WEBER, A .
PHYSICAL REVIEW E, 1993, 47 (05) :3231-3241
[5]  
ARRECCHI FT, 1991, PHYS REV LETT, V67, P3749
[6]   Phase diagram of the two-dimensional complex Ginzburg-Landau equation [J].
Chate, H ;
Mauneville, P .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1996, 224 (1-2) :348-368
[7]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[8]  
FENTON P, IN PRESS SCROLL WAVE
[9]   DYNAMICS OF SPIRAL RINGS IN THE 3-DIMENSIONAL GINZBURG-LANDAU EQUATION [J].
FRISCH, T ;
RICA, S .
PHYSICA D, 1992, 61 (1-4) :155-158
[10]   Motion of scroll wave filaments in the complex Ginzburg-Landau equation [J].
Gabbay, M ;
Ott, E ;
Guzdar, PN .
PHYSICAL REVIEW LETTERS, 1997, 78 (10) :2012-2015