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. doi:10.1103/PhysRevE.64.046206. 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 | ||||||
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| 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 | ||||||
| DOI: | 10.1103/PhysRevE.64.046206 | ||||||
| Record Number: | CaltechAUTHORS:DASpre01 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:DASpre01 | ||||||
| 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: | 08 Nov 2021 19:51 |
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