English

Ordered and Disordered Defect Chaos

chao-dyn 2015-06-24 v1 Soft Condensed Matter Statistical Mechanics Chaotic Dynamics Pattern Formation and Solitons patt-sol

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 life-times, 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 life-time, whereas in the disordered regime the life-time distribution is exponential. The probability of large defect loops is substantially larger in the disordered regime.

Keywords

Cite

@article{arxiv.chao-dyn/9704020,
  title  = {Ordered and Disordered Defect Chaos},
  author = {Glen D. Granzow and Hermann Riecke},
  journal= {arXiv preprint arXiv:chao-dyn/9704020},
  year   = {2015}
}

Comments

8 pages revtex, 8 figures