Kinetic roughening model with opposite Kardar-Parisi-Zhang nonlinearities
Statistical Mechanics
2016-08-31 v1
Abstract
We introduce a model that simulates a kinetic roughening process with two kinds of particles: one follows the ballistic deposition (BD) kinetic and, the other, the restricted solid-on-solid (KK) kinetic. Both of these kinetics are in the universality class of the nonlinear KPZ equation, but the BD kinetic has a positive nonlinear constant while the KK kinetic has a negative one. In our model, called BD-KK model, we assign the probabilities p and (1-p) to the KK and BD kinetics, respectively. For a specific value of p, the system behaves as a quasi linear model and the up-down symmetry is recuperated. We show that nonlinearities of odd-order are relevant in these low nonlinear limit.
Keywords
Cite
@article{arxiv.cond-mat/0012095,
title = {Kinetic roughening model with opposite Kardar-Parisi-Zhang nonlinearities},
author = {T. J. da Silva and J. G. Moreira},
journal= {arXiv preprint arXiv:cond-mat/0012095},
year = {2016}
}
Comments
10 pages; 4 figures