Step-flow growth of a crystal surface by Lévy flights

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

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish (US)
Article number28007
Issue number2
StatePublished - Apr 1 2008

ASJC Scopus subject areas

  • General Physics and Astronomy


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