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Renormalization-group analysis of a noisy Kuramoto-Sivashinsky equation

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URI: https://hdl.handle.net/10016/6966
ISSN: 1539-3755
DOI: https://www.doi.org/10.1103/PhysRevE.52.4853
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renormalization_cuerno_pre_1995_ps.pdf (133.23 KB)
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1995-11
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The American Physical Society
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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.
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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
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[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
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Physical Review E, 1995, vol. 52, n. 5, p. 4853-4859
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