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

Rodolfo Cuerno·Hernan A. Makse·Silvina Tomassone·Stephen T. Harrington·H. E. Stanley
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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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Rodolfo Cuerno, Hernan A. Makse, Silvina Tomassone, Stephen T. Harrington, H. E. Stanley. 1995-11-08. Stochastic Model for Surface Erosion Via Ion-Sputtering: Dynamical Evolution from Ripple Morphology to Rough Morphology. https://doi.org/10.1103/physrevlett.75.4464

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