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Ordered and disordered defect chaos

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  • Granzow, Glen D.
  • Riecke, Hermann

Abstract

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.

Suggested Citation

  • Granzow, Glen D. & Riecke, Hermann, 1998. "Ordered and disordered defect chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 27-35.
    • Handle: RePEc:eee:phsmap:v:249:y:1998:i:1:p:27-35
    DOI: 10.1016/S0378-4371(97)00428-7
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    1. Chaté, Hugues & Manneville, Paul, 1996. "Phase diagram of the two-dimensional complex Ginzburg-Landau equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 348-368.
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