Publication: Renormalization-group analysis of a noisy Kuramoto-Sivashinsky equation
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1995-11
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The American Physical Society
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.
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
Final publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html
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
Bibliographic citation
Physical Review E, 1995, vol. 52, n. 5, p. 4853-4859