Stochastic Model for Surface Erosion Via Ion-Sputtering: Dynamical Evolution from Ripple Morphology to Rough Morphology

Preprint

8 November 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9511039

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.

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All Related Versions

Version 1, 1995-11-08, ArXiv
Published version: Physical Review Letters, 75 (24), 4464.

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