Slow Crossover to Kardar-Parisi-Zhang Scaling

Details Slow Crossover to Kardar-Parisi-Zhang Scaling Slow Crossover to Kardar-Parisi-Zhang Scaling

2001-04-20

arxiv.org/abs/cond-mat/0104393v2

Phys. Rev. E v64, 051101 (2001)

Physics

Condensed Matter

Statistical Mechanics

Revised version with additional discussion; 10 pages RevTeX; 4 figures

Scientific paper

10.1103/PhysRevE.64.051101

The Kardar-Parisi-Zhang (KPZ) equation is accepted as a generic description of interfacial growth. In several recent studies, however, values of the roughness exponent alpha have been reported that are significantly less than that associated with the KPZ equation. A feature common to these studies is the presence of holes (bubbles and overhangs) in the bulk and an interface that is smeared out. We study a model of this type in which the density of the bulk and sharpness of the interface can be adjusted by a single parameter. Through theoretical considerations and the study of a simplified model we determine that the presence of holes does not affect the asymptotic KPZ scaling. Moreover, based on our numerics, we propose a simple form for the crossover to the KPZ regime.

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