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 a 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.
Original language | English |
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Article number | 051101 |
Pages (from-to) | - |
Number of pages | 5 |
Journal | Physical Review E |
Volume | 6405 |
Issue number | 5 |
DOIs | |
Publication status | Published - Nov 2001 |
Keywords / Materials (for Non-textual outputs)
- BALLISTIC DEPOSITION
- DIRECTED POLYMERS
- GROWTH-MODELS
- TRANSITIONS
- RELAXATION
- DIMENSIONS
- INTERFACES
- INVARIANCE
- BURGERS
- FRONTS