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Nonequilibrium Dynamics in the Complex Ginzburg-Landau Equation

arXiv:cond-mat/0103527 · doi:10.1103/PhysRevE.64.056140

Abstract

We present results from a comprehensive analytical and numerical study of nonequilibrium dynamics in the 2-dimensional complex Ginzburg-Landau (CGL) equation. In particular, we use spiral defects to characterize the domain growth law and the evolution morphology. An asymptotic analysis of the single-spiral correlation function shows a sequence of singularities -- analogous to those seen for time-dependent Ginzburg-Landau (TDGL) models with O(n) symmetry, where $n$ is even.

11 pages, 5 figures