Defect-freezing and Defect-unbinding in the Vector Complex Ginzburg-Landau Equation
chao-dyn
2009-10-31 v1 Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9903011,
title = {Defect-freezing and Defect-unbinding in the Vector Complex Ginzburg-Landau Equation},
author = {Miguel Hoyuelos and Emilio Hernandez-Garcia and Pere Colet and Maxi San Miguel},
journal= {arXiv preprint arXiv:chao-dyn/9903011},
year = {2009}
}
Comments
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/