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

H. Jeong·B. Kahng·D. Kim
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Abstract

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 $m s_c$. We explain these features from a pinning mechanism involving a localized pinning center and the self-organized facet formation.

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H. Jeong, B. Kahng, D. Kim. 1998-07-14. Facet Formation in the Negative Quenched Kardar-Parisi-Zhang Equation. https://doi.org/10.1103/physreve.59.1570

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