Step-flow growth of a crystal surface by Lévy flights

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Published 26 March 2008 Europhysics Letters Association
, , Citation M. S. Levine et al 2008 EPL 82 28007 DOI 10.1209/0295-5075/82/28007

0295-5075/82/2/28007

Abstract

Step-flow growth of a crystal surface is considered in the case when the adatom diffusion on the terraces is governed by Lévy flights. A superdiffusive analog of the Burton-Cabrera-Frank (BCF) theory is developed, and the step-flow velocity is found as a function of the terrace width and the anomalous-diffusion exponent. It is shown that the Lévy-flights–controlled step-flow velocity is lower than that in the case of normal diffusion.

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10.1209/0295-5075/82/28007