Issue |
EPL
Volume 82, Number 2, April 2008
|
|
---|---|---|
Article Number | 28007 | |
Number of page(s) | 5 | |
Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
DOI | https://doi.org/10.1209/0295-5075/82/28007 | |
Published online | 26 March 2008 |
Step-flow growth of a crystal surface by Lévy flights
Department of Engineering Sciences and Applied Mathematics, Northwestern University - Evanston, IL 60208, USA
Received:
15
November
2007
Accepted:
26
February
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.
PACS: 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
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