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05 May 2024
 
  » arxiv » cond-mat/9511039

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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 ;
Date 8 Nov 1995
Subject Condensed Matter; Adaptation and Self-Organizing Systems | cond-mat adap-org mtrl-th nlin.AO
AbstractSurfaces 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.
Source arXiv, cond-mat/9511039
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