Growth Models And The Question Of Universality Classes
Computational Physics
2009-10-31 v1
Abstract
In the past many papers have appeared which simulated surface growth with different growth models. The results showed that, if models differed only slightly in their `growth' rules, the resulting surfaces may belong to different universality classes, i.e. they are described by different differential equations. In the present paper we describe a mapping of ``growth rules'' to differential operators and give plausibility arguments for this mapping. We illustrate the validity of our theory by applying it to published results.
Cite
@article{arxiv.physics/9806033,
title = {Growth Models And The Question Of Universality Classes},
author = {W. E. Hagston and H. Ketterl},
journal= {arXiv preprint arXiv:physics/9806033},
year = {2009}
}