SMALL-SCALE PROPERTIES OF THE STOCHASTIC STABILIZED KURAMOTO-SIVASHINSKY EQUATION

Citation
J. Buceta et al., SMALL-SCALE PROPERTIES OF THE STOCHASTIC STABILIZED KURAMOTO-SIVASHINSKY EQUATION, Physica. D, 113(2-4), 1998, pp. 166-171
Citations number
22
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
113
Issue
2-4
Year of publication
1998
Pages
166 - 171
Database
ISI
SICI code
0167-2789(1998)113:2-4<166:SPOTSS>2.0.ZU;2-J
Abstract
We present analytical and numerical results about the scaling properti es at short times and small length scales of the stochastic version of the stabilized Kuramoto-Sivashinky equation (SSKS) in 1 + 1 dimension s. recently considered to model the slow compact growth in electrodepo sition. By using the linearized fluctuation theory we obtain several r elevant quantities related to the scaling properties. We compare these results with numerical simulations and find that the SSKS equation ha s an anomalous scaling behaviour. Copyright (C) 1998 Elsevier Science B.V.