Noisy Kuramoto-Sivashinsky equation for an erosion model
Condensed Matter
2009-10-28 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9608023,
title = {Noisy Kuramoto-Sivashinsky equation for an erosion model},
author = {Kent Baekgaard Lauritsen and Rodolfo Cuerno and Hernan A. Makse},
journal= {arXiv preprint arXiv:cond-mat/9608023},
year = {2009}
}
Comments
latex (w/ multicol.sty), 4 pages; to appear in Physical Review E (Oct 1996)