STATISTICS OF TOPOLOGICAL DEFECTS AND SPATIOTEMPORAL CHAOS IN A REACTION-DIFFUSION SYSTEM

被引:100
作者
HILDEBRAND, M [1 ]
BAR, M [1 ]
EISWIRTH, M [1 ]
机构
[1] MAX PLANCK GESELL, FRITZ HABER INST, D-14195 BERLIN, GERMANY
关键词
D O I
10.1103/PhysRevLett.75.1503
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The transition between rotating spirals and spatiotemporal chaos (''spiral turbulence'') in an excitable reaction-diffusion system is investigated by means of statistics of topological defects of the concentration field. The ratio of the variance and the mean value of the number of defects show a significant deviation from unity at this point. A change of the defect dynamics within the turbulent regime reveals a strong similarity to a liquid-to-gas transition, while a liquid-solid-like transition occurs upon a jumplike return to the region of spiral stability.
引用
收藏
页码:1503 / 1506
页数:4
相关论文
共 21 条
  • [1] [Anonymous], 2013, THEORY SIMPLE LIQUID
  • [2] CORE INSTABILITY AND SPATIOTEMPORAL INTERMITTENCY OF SPIRAL WAVES IN OSCILLATORY MEDIA
    ARANSON, I
    KRAMER, L
    WEBER, A
    [J]. PHYSICAL REVIEW LETTERS, 1994, 72 (15) : 2316 - 2319
  • [3] FORMATION OF ASYMMETRIC STATES OF SPIRAL WAVES IN OSCILLATORY MEDIA
    ARANSON, IS
    KRAMER, L
    WEBER, A
    [J]. PHYSICAL REVIEW E, 1993, 48 (01): : R9 - R12
  • [4] ARRECCHI FT, 1991, PHYS REV LETT, V67, P3749
  • [5] Chemical turbulence and standing waves in a surface reaction model: The influence of global coupling and wave instabilities
    Baer, M.
    Hildebrand, M.
    Eiswirth, M.
    Falcke, M.
    Engel, H.
    Neufeld, M.
    [J]. CHAOS, 1994, 4 (03) : 499 - 508
  • [6] SPIRAL WAVES IN A SURFACE-REACTION - MODEL-CALCULATIONS
    BAR, M
    GOTTSCHALK, N
    EISWIRTH, M
    ERTL, G
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (02) : 1202 - 1214
  • [7] BAR M, 1993, PHYS REV E, V48, pR1635
  • [8] A MODEL FOR FAST COMPUTER-SIMULATION OF WAVES IN EXCITABLE MEDIA
    BARKLEY, D
    [J]. PHYSICA D, 1991, 49 (1-2): : 61 - 70
  • [9] A FORM OF TURBULENCE ASSOCIATED WITH DEFECTS
    COULLET, P
    GIL, L
    LEGA, J
    [J]. PHYSICA D, 1989, 37 (1-3): : 91 - 103
  • [10] SPATIOTEMPORAL CHAOS
    CROSS, MC
    HOHENBERG, PC
    [J]. SCIENCE, 1994, 263 (5153) : 1569 - 1570