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

Das, Subir K. and Puri, Sanjay and Cross, M. C. (2001) Nonequilibrium dynamics of the complex Ginzburg-Landau equation: Analytical results. Physical Review E, 64 (4). Art. No. 046206. ISSN 1063-651X. https://resolver.caltech.edu/CaltechAUTHORS:DASpre01

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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.


Item Type:Article
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.
Issue or Number:4
Record Number:CaltechAUTHORS:DASpre01
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:DASpre01
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.64.046206
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2802
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:27 Apr 2006
Last Modified:02 Oct 2019 22:56

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