Surface Growth with Power-Law Noise in 2+1 Dimensions

R. Bourbonnais; J. Kertész; D. E. Wolf

doi:doi:10.1051/jp2:1991183

Numéro		J. Phys. II France Volume 1, Numéro 5, May 1991


Page(s)		493 - 500
DOI		https://doi.org/10.1051/jp2:1991183

DOI: 10.1051/jp2:1991183
J. Phys. II France 1 (1991) 493-500

Surface Growth with Power-Law Noise in 2+1 Dimensions

R. Bourbonnais¹, J. Kertész² and D. E. Wolf³

¹ Höchstleistungsrechenzentrum (HLRZ), Forschungszentrum KFA Jülich Postfach 1913, D-5170 Jülich 1, Federal Republic of Germany
² Intitut für Theorische Physik, Universität zu Köln, Zülpicher Strasse 77, D-5000 Köln 41, Federal Republic of Germany
³ Institut für Festkörperfoschung (IFF), Forschungszentrum KFA Jülich Postfach 1913, D-5170 Jülich 1, Federal Republic of Germany

(Received 11 March 1991, accepted 22 March 1991)

Abstract
Large scale simulations of stochastic growth of 2+1 dimensional surfaces were carried out on a 16K processor Connection Machine. We introduce a family of models for which we could reproduce the known scaling behavior of kinetic roughening in the presence of bounded noise. For noise amplitudes $\eta$ distributed to $P(\eta)\sim \eta^{-\mu-1}$ , the growth exponents depend on $\mu$ and they are well described by the recently formula based on the scaling of rare events.