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Restricted solid-on-solid growth model with a defect site in a two-dimensional substrate

Authors
Song, Hyun SukKim, Jin Min
Issue Date
Jan-2013
Publisher
KOREAN PHYSICAL SOC
Keywords
Restricted solid-on-solid growth model; Kardar-Parisi-Zhang equation; Facet transition
Citation
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.62, no.1, pp.14 - 17
Journal Title
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
Volume
62
Number
1
Start Page
14
End Page
17
URI
http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/11388
DOI
10.3938/jkps.62.14
ISSN
0374-4884
Abstract
A restricted solid-on-solid growth model with a defect in the middle of a two-dimensional substrate is studied. A particle is deposited with a probability P at the defect site and with P = 1 at the other sites under a restriction on the local height difference. When P is small, the strength of the defect is strong enough to make a surface facet. For P > P (c) , the defect site distorts the surface weakly without producing a facet surface. At P = P (c) , the height difference correlation function C(r) shows a power-law behavior C(r) r (delta) with delta a parts per thousand 1/2. Other critical exponents near the facet transition are also discussed.
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