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Published October 1, 2001 | public
Journal Article Open

Nonequilibrium dynamics of the complex Ginzburg-Landau equation: Analytical results

Abstract

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 this exposition we will present detailed numerical results.

Additional Information

©2001 The American Physical Society Received 15 March 2001; published 20 September 2001 S.P. is grateful to A. J. Bray and H. Chate for useful discussions. S.K.D. is grateful to the University Grants Commission, India, for financial support.

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