Nonequilibrium Dynamics of the Complex Ginzburg-Landau Equation. I. Analytical Results

Details Nonequilibrium Dynamics of the Complex Ginzburg-Landau Equation. I. Analytical Results Nonequilibrium Dynamics of the Complex Ginzburg-Landau Equation. I. Analytical Results

2001-03-17

arxiv.org/abs/cond-mat/0103364v1

Physics

Condensed Matter

Statistical Mechanics

21 pages, 7 figures

Scientific paper

10.1103/PhysRevE.64.046206

We present a detailed analytical and numerical study of nonequilibrium dynamics for the complex Ginzburg-Landau (CGL) equation. In particular, we characterize evolution morphologies using spiral defects. This paper (referred to as $\rm I$) is the first in a two-stage exposition. Here, we present analytical results for the correlation function arising from a single-spiral morphology. We also critically examine the utility of the Gaussian auxiliary field (GAF) ansatz in characterizing a multi-spiral morphology. In the next paper of this exposition (referred to as $\rm II$), we will present detailed numerical results.

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