Interaction of vortices in a complex vector field and stability of a "vortex molecule"

被引：29

作者：

Aranson, IS

Pismen, LM

机构：

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

[2] Technion Israel Inst Technol, Dept Chem Engn, IL-32000 Haifa, Israel

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 84卷 / 04期

关键词：

D O I：

10.1103/PhysRevLett.84.634

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider interaction of vortices in the vector complex Ginzburg-Landau equation (CVGLE). In the limit of small field coupling, it is found analytically that the interaction between well-separated defects in two different fields is long ranged, in contrast to the interaction between defects in the same field which falls off exponentially. In a certain region of parameters of CVGLE, we find stable rotating bound states of two defects-a "vortex molecule."

引用

收藏

页码：634 / 637

页数：4

相关论文

共 16 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] 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

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

Aranson, IS ;

Bishop, AR ;

Kramer, L .

PHYSICAL REVIEW E, 1998, 57 (05) :5276-5286

[4] HAMILTONIAN BIFURCATIONS OF THE SPATIAL STRUCTURE FOR COUPLED NONLINEAR SCHRODINGER-EQUATIONS [J].

BRIDGES, TJ .

PHYSICA D, 1992, 57 (3-4) :375-394

[5] Induced coherence and stable soliton spiraling [J].

Buryak, AV ;

Kivshar, YS ;

Shih, MF ;

Segev, M .

PHYSICAL REVIEW LETTERS, 1999, 82 (01) :81-84

[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] VECTOR ORDER PARAMETER FOR AN UNPOLARIZED LASER AND ITS VECTORIAL TOPOLOGICAL DEFECTS [J].

GIL, L .

PHYSICAL REVIEW LETTERS, 1993, 70 (02) :162-165

[9] BIFURCATIONS OF THE DARK SOLITON AND POLARIZATION DOMAIN-WALLS IN NONLINEAR DISPERSIVE MEDIA [J].

HAELTERMAN, M ;

SHEPPARD, AP .

PHYSICAL REVIEW E, 1994, 49 (05) :4512-4518

[10] SPIRAL WAVES IN REACTION-DIFFUSION EQUATIONS [J].

HAGAN, PS .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (04) :762-786