Ordered and disordered defect chaos

被引:10
作者
Granzow, GD [1 ]
Riecke, H [1 ]
机构
[1] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
来源
PHYSICA A | 1998年 / 249卷 / 1-4期
基金
美国国家科学基金会; 美国国家卫生研究院;
关键词
D O I
10.1016/S0378-4371(97)00428-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Defect chaos is studied numerically in coupled Ginzburg-Landau equations for parametrically driven waves. The motion of the defects is traced in detail yielding their lifetimes, annihilation partners, and distances traveled. In a regime in which in the one-dimensional case the chaotic dynamics is due to double phase slips, the two-dimensional system exhibits a strongly ordered stripe pattern. When the parity-breaking instability to traveling waves is approached this order vanishes and the correlation function decays rapidly. In the ordered regime the defects have a typical lifetime, whereas in the disordered regime the lifetime distribution is exponential. The probability of large defect loops is substantially larger in the disordered regime. (C) 1998 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码:27 / 35
页数:9
相关论文
共 22 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]   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
[3]   DEFECT-MEDIATED TURBULENCE IN WAVE PATTERNS [J].
COULLET, P ;
LEGA, J .
EUROPHYSICS LETTERS, 1988, 7 (06) :511-516
[4]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[5]   Origin of traveling rolls in electroconvection of nematic liquid crystals [J].
Dennin, M ;
Treiber, M ;
Kramer, L ;
Ahlers, G ;
Cannell, DS .
PHYSICAL REVIEW LETTERS, 1996, 76 (02) :319-322
[6]   CHARACTERIZATION OF THE TRANSITION FROM DEFECT TO PHASE TURBULENCE [J].
EGOLF, DA ;
GREENSIDE, HS .
PHYSICAL REVIEW LETTERS, 1995, 74 (10) :1751-1754
[7]   STATISTICAL PROPERTIES OF DEFECT-MEDIATED TURBULENCE [J].
GIL, L ;
LEGA, J ;
MEUNIER, JL .
PHYSICAL REVIEW A, 1990, 41 (02) :1138-1141
[8]   Phase diffusion in localized spatiotemporal amplitude chaos [J].
Granzow, GD ;
Riecke, H .
PHYSICAL REVIEW LETTERS, 1996, 77 (12) :2451-2454
[9]  
GRANZOW GD, UNPUB SIAM J APPL MA
[10]  
GRANZOW GD, UNPUB