Slow crossover to Kardar-Parisi-Zhang scaling

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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 languageEnglish
Article number051101
Pages (from-to)-
Number of pages5
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume6405
Issue number5
DOIs
Publication statusPublished - Nov 2001

Keywords

  • BALLISTIC DEPOSITION
  • DIRECTED POLYMERS
  • GROWTH-MODELS
  • TRANSITIONS
  • RELAXATION
  • DIMENSIONS
  • INTERFACES
  • INVARIANCE
  • BURGERS
  • FRONTS

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