Nonequilibrium dynamics of the complex Ginzburg-Landau equation: analytical results.

@article{Das2001NonequilibriumDO,
  title={Nonequilibrium dynamics of the complex Ginzburg-Landau equation: analytical results.},
  author={Sarbashis Das and Sanjay Puri and Michael C. Cross},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2001},
  volume={64 4 Pt 2},
  pages={046206}
}
We present a detailed analytical and numerical study of nonequilibrium dynamics for the complex Ginzburg-Landau equation. In particular, we characterize evolution morphologies using spiral defects. This paper 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 ansatz in characterizing a multispiral morphology. In the next paper of… CONTINUE READING

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