Volume 82, Number 2, April 2008
Article Number 28007
Number of page(s) 5
Section Interdisciplinary Physics and Related Areas of Science and Technology
Published online 26 March 2008
EPL, 82 (2008) 28007
DOI: 10.1209/0295-5075/82/28007

Step-flow growth of a crystal surface by Lévy flights

M. S. Levine, A. A. Golovin and V. A. Volpert

Department of Engineering Sciences and Applied Mathematics, Northwestern University - Evanston, IL 60208, USA

received 15 November 2007; accepted in final form 26 February 2008; published April 2008
published online 26 March 2008

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$\hbox{--} $controlled step-flow velocity is lower than that in the case of normal diffusion.

81.10.-h - Methods of crystal growth; physics of crystal growth.
81.10.Bk - Growth from vapor.
68.35.Fx - Diffusion; interface formation.

© EPLA 2008