Noisy Kuramoto-Sivashinsky equation for an erosion model

Lauritsen, Kent Baekgaard; Cuerno, Rodolfo; Makse, Hernán A.

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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: 1996-10

Citation: Physical Review E, 1996, vol. 54, n. 4, p. 3577-3580

ISSN: 1539-3755

DOI: https://www.doi.org/10.1103/PhysRevE.54.3577

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

URI: http://hdl.handle.net/10016/6963

Rights: © The American Physical Society

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 li [+]

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

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