Anisotropic Surface Growth Model in Disordered Media
Statistical Mechanics
2009-10-28 v2
Abstract
We introduce a self-organized surface growth model in 2+1 dimensions with anisotropic avalanche process, which is expected to be in the universality class of the anisotropic quenched Kardar-Parisi-Zhang equation with alternative signs of the nonlinear KPZ terms. It turns out that the surface height correlation functions in each direction scales distinctively. The anisotropic behavior is attributed to the asymmetric behavior of the quenched KPZ equation in 1+1 dimensions with respect to the sign of the nonlinear KPZ term.
Cite
@article{arxiv.cond-mat/9606205,
title = {Anisotropic Surface Growth Model in Disordered Media},
author = {HaWoong Jeong and ByungNam Kahng and Doochul Kim},
journal= {arXiv preprint arXiv:cond-mat/9606205},
year = {2009}
}
Comments
4 pages, source TeX file and 7 PS figures. Minor changes in text and figure, revised final version to appear in PRL