Facet formation in the negative quenched Kardar-Parisi-Zhang equation

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The quenched Kardar-Parisi-Zhang equation with negative nonlinear term shows a first order pinning-depinning (PD) transition as the driving force F is varied. We study the substrate-tilt dependence of the dynamic transition properties in 1+1 dimensions. At the PD transition, the pinned surfaces form a facet with a characteristic slope s(c) as long as the substrate tilt m is less than s(c). When m<s(c), the transition is discontinuous and the critical value of the driving force F,(m) is independent of m, while the transition is continuous and F(c)(ln) increases with In when m>s(c). We explain these features from a pinning mechanism involving a localized pinning center and the self-organized facet formation. [S1063-651X(99)12602-3].
Publisher
AMER PHYSICAL SOC
Issue Date
1999-02
Language
English
Article Type
Article
Keywords

INTERFACE GROWTH; POROUS-MEDIA; MODEL; DISORDER; DYNAMICS

Citation

PHYSICAL REVIEW E, v.59, no.2, pp.1570 - 1573

ISSN
1539-3755
DOI
10.1103/PhysRevE.59.1570
URI
http://hdl.handle.net/10203/73976
Appears in Collection
PH-Journal Papers(저널논문)
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