Self-similar solutions for the Kardar-Parisi-Zhang interface dynamic equation
Adaptation and Self-Organizing Systems
2011-12-14 v1
Abstract
In this article we will present a study of the well-known Kardar-Parisi-Zhang(KPZ) model. Under certain conditions we have found analytic self-similar solutions for the underlying equation. The results are strongly related to the error functions. One and two spatial dimensions are considered with different kind of self-similar Ansaetze.
Keywords
Cite
@article{arxiv.1112.2870,
title = {Self-similar solutions for the Kardar-Parisi-Zhang interface dynamic equation},
author = {Imre Ferenc Barna and Laszlo Matyas},
journal= {arXiv preprint arXiv:1112.2870},
year = {2011}
}
Comments
8 pages, 4 figures, it is submitted to Eur. Phys. J. B