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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6963
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| Title: | Noisy Kuramoto-Sivashinsky equation for an erosion model |
| Author(s): | Lauritsen, Kent Baekgaard
Cuerno, Rodolfo
Makse, Hernán A. |
| Publisher: | The American Physical Society |
| Issued date: | Oct-1996 |
| Citation: | Physical Review E, 1996, vol. 54, n. 4, p. 3577-3580 |
| URI: | http://hdl.handle.net/10016/6963 |
| ISSN: | 1539-3755 |
| DOI: | 10.1103/PhysRevE.54.3577 |
| Description: | 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 |
| 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. |
| Sponsor: | K.B.L. acknowledges the support from the Danish Natural Science Research Council, and R.C. acknowledges support from Ministerio de Educación y Ciencia, Spain. The Center for Polymer Studies is supported by NSF. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevE.54.3577 |
| 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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