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A Model for Ion-Sputtering: from Pattern Formation to Rough Surfaces

Published online by Cambridge University Press:  10 February 2011

R. Cuerno
Affiliation:
Center for Polymer Studies and Dept. of Physics, Boston University, Boston, MA 02215
H. A. Makse
Affiliation:
Center for Polymer Studies and Dept. of Physics, Boston University, Boston, MA 02215
S. Tomassone
Affiliation:
Department of Physics, Northeastern University, Boston, MA 02115
S. T. Harrington
Affiliation:
Center for Polymer Studies and Dept. of Physics, Boston University, Boston, MA 02215
H. E. Tanley
Affiliation:
Center for Polymer Studies and Dept. of Physics, Boston University, Boston, MA 02215
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Abstract

Many surfaces eroded by ion-sputtering have been observed to develop morphologies which are either periodic, or rough and non-periodic. We have introduced a discrete stochastic model that allows to interpret these experimental observations within a unified framework. A simple periodic pattern characterizes the initial stages of the surface evolution, whereas the later time regime is consistent with self-affine scaling. The continuum equation describing the surface height is a noisy version of the Kuramoto-Sivashinsky equation.

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