Step-flow growth of a crystal surface by Lévy flightsM. 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-flightscontrolled 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