Ordered and disordered defect chaos

Glen D. Granzow*, Hermann Riecke

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)27-35
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume249
Issue number1-4
DOIs
StatePublished - Jan 2 1998

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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