%0 Journal Article
%T Stochastic Model for Surface Erosion Via Ion-Sputtering: Dynamical Evolution from Ripple Morphology to Rough Morphology
%A Rodolfo Cuerno
%A Hernan A. Makse
%A Silvina Tomassone
%A Stephen T. Harrington
%A H. E. Stanley
%J Physics
%D 1995
%I arXiv
%R 10.1103/PhysRevLett.75.4464
%X Surfaces eroded by ion-sputtering are sometimes observed to develop morphologies which are either ripple (periodic), or rough (non-periodic). We introduce a discrete stochastic model that allows us to interpret these experimental observations within a unified framework. We find that a periodic ripple morphology characterizes the initial stages of the evolution, whereas the surface displays self-affine scaling in the later time regime. Further, we argue that the stochastic continuum equation describing the surface height is a noisy version of the Kuramoto-Sivashinsky equation.
%U http://arxiv.org/abs/cond-mat/9511039v1