EXACT SCALING IN SURFACE GROWTH WITH POWER-LAW NOISE

Authors
Citation
Ch. Lam et Lm. Sander, EXACT SCALING IN SURFACE GROWTH WITH POWER-LAW NOISE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(2), 1993, pp. 979-987
Citations number
32
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
48
Issue
2
Year of publication
1993
Pages
979 - 987
Database
ISI
SICI code
1063-651X(1993)48:2<979:ESISGW>2.0.ZU;2-F
Abstract
We investigate a continuum formulation of surface growth following the Kardar-Parisi-Zhang equation [Phys. Rev. Lett. 56, 889 (1986)] with a power-law distribution of the magnitudes of regional advances. This f ormulation describes Zhang's ballistic-deposition model [J. Phys. (Par is) 51, 2129 (1990)] with power-law noise and possibly recent fluid-di splacement experiments. Our exact theory predicts a transition of the scaling behavior from power-law-noise domination to a Gaussian-noise r egime as the power increases. An apparent contradiction with previous simulations is due to a logarithmic correction to the scaling at the t ransition and to anomalous-growth effects. Analogous scaling behaviors are derived for the Edwards-Wilkinson model [Proc. R. Soc. London Ser . A 381, 17 (1982)] with power-law noise. Our results are supported by simulations.