Step-flow growth of a crystal surface by Lévy flights

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

doi:10.1209/0295-5075/82/28007

Step-flow growth of a crystal surface by Lévy flights

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

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Article number	28007
Journal	EPL
Volume	82
Issue number	2
DOIs	https://doi.org/10.1209/0295-5075/82/28007
State	Published - Apr 1 2008

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1209/0295-5075/82/28007

Cite this

@article{10b3f782abae4702ba4a6c4ed4735f62,

title = "Step-flow growth of a crystal surface by L{\'e}vy flights",

abstract = "Step-flow growth of a crystal surface is considered in the case when the adatom diffusion on the terraces is governed by L{\'e}vy 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 L{\'e}vy-flights- controlled step-flow velocity is lower than that in the case of normal diffusion.",

author = "Levine, {M. S.} and Golovin, {A. A.} and Volpert, {V. A.}",

year = "2008",

month = apr,

day = "1",

doi = "10.1209/0295-5075/82/28007",

language = "English (US)",

volume = "82",

journal = "EPL",

issn = "0295-5075",

number = "2",

}

TY - JOUR

T1 - Step-flow growth of a crystal surface by Lévy flights

AU - Levine, M. S.

AU - Golovin, A. A.

AU - Volpert, V. A.

PY - 2008/4/1

Y1 - 2008/4/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=79051470290&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79051470290&partnerID=8YFLogxK

U2 - 10.1209/0295-5075/82/28007

DO - 10.1209/0295-5075/82/28007

M3 - Article

AN - SCOPUS:79051470290

SN - 0295-5075

VL - 82

JO - EPL

JF - EPL

IS - 2

M1 - 28007

ER -

Step-flow growth of a crystal surface by Lévy flights

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this