Noisy Kuramoto-Sivashinsky equation for an erosion model
arXiv:cond-mat/9608023 · doi:10.1103/PhysRevE.54.3577
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.
latex (w/ multicol.sty), 4 pages; to appear in Physical Review E (Oct 1996)