Noisy Kuramoto-Sivashinsky equation for an erosion model

Kent Bækgaard Lauritsen; Rodolfo Cuerno; Hernán A. Makse

doi:10.1103/PhysRevE.54.3577

Noisy Kuramoto-Sivashinsky equation for an erosion model

Kent Bækgaard Lauritsen, Rodolfo Cuerno, and Hernán A. Makse

Phys. Rev. E 54, 3577 – Published 1 October 1996

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. © 1996 The American Physical Society.

Received 4 January 1996

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

Authors & Affiliations

Kent Bækgaard Lauritsen, Rodolfo Cuerno, and Hernán A. Makse

Niels Bohr Institute, Center for Chaos and Turbulence Studies, Blegdamsvej 17, 2100 Copenhagen O/, Denmark
Departamento de Matemáticas and GISC, Universidad Carlos III de Madrid, Butarque 15, 28911 Leganés, Spain
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215

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Vol. 54, Iss. 4 — October 1996

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