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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6966
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| Title: | Renormalization-group analysis of a noisy Kuramoto-Sivashinsky equation |
| Author(s): | Cuerno, Rodolfo
Lauritsen, Kent Baekgaard |
| Publisher: | The American Physical Society |
| Issued date: | Nov-1995 |
| Citation: | Physical Review E, 1995, vol. 52, n. 5, p. 4853-4859 |
| URI: | http://hdl.handle.net/10016/6966 |
| ISSN: | 1539-3755 |
| DOI: | 10.1103/PhysRevE.52.4853 |
| Description: | 7 pages, 5 figures.-- PACS nrs.: 64.60.Ht, 68.35.Rh, 05.40.+j, 79.20.Rf.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/9505076
Final publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html |
| Abstract: | We have analyzed the Kuramoto-Sivashinsky equation with a stochastic noise term through a dynamic renormalization-group calculation. For a system in which the lattice spacing is smaller than the typical wavelength of the linear instability occurring in the system, the large distance and long-time behavior of this equation is the same as for the Kardar-Parisi-Zhang equation in one and two spatial dimensions. For the d=2 case the agreement is only qualitative. On the other hand, when coarse graining on larger scales the asymptotic flow depends on the initial values of the parameters. |
| Sponsor: | R.C. acknowledges financial support from the Spanish Ministerio de Educación y Ciencia, and K.B.L. acknowledges financial support from the Carlsberg Foundation and the Danish Natural Science Research Council. The Center for Polymer Stdies is supported by NSF. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevE.52.4853 |
| Keywords: | [PACS] Dynamic critical phenomena
[PACS] Phase transitions and critical phenomena
[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion
[PACS] Atomic, molecular, and ion beam impact and interactions with surfaces |
| Rights: | © The American Physical Society |
| Appears in Collections: | DM - GISC - Artículos de Revistas
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