Facet Formation in the Negative Quenched Kardar-Parisi-Zhang Equation

Details Facet Formation in the Negative Quenched Kardar-Parisi-Zhang Equation Facet Formation in the Negative Quenched Kardar-Parisi-Zhang Equation

1998-07-14

arxiv.org/abs/cond-mat/9807194v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, source TeX file and 7 PS figures are tarred and compressed via uufiles

Scientific paper

10.1103/PhysRevE.59.1570

The quenched Kardar-Parisi-Zhang (QKPZ) equation with negative non-linear 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 $ms_c$. We explain these features from a pinning mechanism involving a localized pinning center and the self-organized facet formation.

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