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Noisy Kuramoto-Sivashinsky equation for an erosion model

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URI: https://hdl.handle.net/10016/6963
ISSN: 1539-3755
DOI: https://www.doi.org/10.1103/PhysRevE.54.3577
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noisy_cuerno_pre_1996_ps.pdf (92.32 KB)
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1996-10
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The American Physical Society
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Abstract
We derive the continuum equation for a discrete model for ion sputtering. We follow an approach based on the master equation, and discuss how it can be truncated to a Fokker-Planck equation and mapped to a discrete Langevin equation. By taking the continuum limit, we arrive at the Kuramoto-Sivashinsky equation with a stochastic noise term.
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4 pages, no figures.-- [1995] 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/9608023
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
Bibliographic citation
Physical Review E, 1996, vol. 54, n. 4, p. 3577-3580
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DM - GISC - Artículos de Revistas