Stochastic Model for Surface Erosion Via Ion-Sputtering: Dynamical Evolution from Ripple Morphology to Rough Morphology
Condensed Matter
2009-10-28 v1 adap-org
mtrl-th
Adaptation and Self-Organizing Systems
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9511039,
title = {Stochastic Model for Surface Erosion Via Ion-Sputtering: Dynamical Evolution from Ripple Morphology to Rough Morphology},
author = {Rodolfo Cuerno and Hernan A. Makse and Silvina Tomassone and Stephen T. Harrington and H. E. Stanley},
journal= {arXiv preprint arXiv:cond-mat/9511039},
year = {2009}
}
Comments
4 pages, 7 postscript figs., Revtex, to appear in Phys. Rev. Lett