Noisy Kuramoto-Sivashinsky equation for an erosion model
  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. 
Kent Baekgaard Lauritsen (Niels Bohr Institute, Denmark) Rodolfo   Cuerno (Madrid University III, Spain) Hernan A. Makse (Bo...