Slow Crossover to Kardar-Parisi-Zhang Scaling

Abstract

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.

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

References in corpus (1)

• The universality class of fluctuating pulled fronts

Cited by in corpus (7)

• Effects of Fluctuations on Propagating Fronts
• Crossover effects in a discrete deposition model with Kardar-Parisi-Zhang scaling
• Ecological Invasion, Roughened Fronts, and a Competitor's Extreme Advance: Integrating Stochastic Spatial-Growth Models
• Roughening of the (1+1) interfaces in two-component surface growth with an admixture of random deposition
• Parasites on parasites: coupled fluctuations in stacked contact processes
• Discontinuous Transition in a Boundary Driven Contact Process
• Width scaling of an interface constrained by a membrane