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

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

1999-03-08

arxiv.org/abs/chao-dyn/9903011v1

Computer Physics Communications 121-122, 414-419 (1999)

Nonlinear Sciences

Chaotic Dynamics

9 pages, using elsart.sty (not included). 3 figures. To appear in Computer Physics Communications (1999). Related material in

Scientific paper

10.1016/S0010-4655(99)00371-9

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.

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