Defect-freezing and Defect-unbinding in the Vector Complex Ginzburg-Landau Equation

Abstract

We describe the dynamical behavior found in numerical solutions of the Vector Complex Ginzburg-Landau equation in parameter values where plane waves are stable. Topological defects in the system are responsible for a rich behavior. At low coupling between the vector components, a {\sl frozen} phase is found, whereas a {\sl gas-like} phase appears at higher coupling. The transition is a consequence of a defect unbinding phenomena. Entropy functions display a characteristic behavior around the transition.

9 pages, using elsart.sty (not included). 3 figures. To appear in Computer Physics Communications (1999). Related material in http://www.imedea.uib.es/Nonlinear/

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• Dynamics of Defects in the Vector Complex Ginzburg-Landau Equation
• Localized structures in coupled Ginzburg-Landau equations