On the existence of an upper critical dimension for systems within the KPZ universality class
Statistical Mechanics
2023-07-19 v1
Abstract
In this work we extend the etching model to dimensions. This permits us to investigate its exponents behaviour on higher dimensions, to try to verify the existence of an upper critical dimension for the KPZ equations, with our results sugesting that is not an upper critical dimension for the etching model.
Keywords
Cite
@article{arxiv.1502.06121,
title = {On the existence of an upper critical dimension for systems within the KPZ universality class},
author = {Evandro A. Rodrigues and Fernando A. Oliveira and Bernardo A. Mello},
journal= {arXiv preprint arXiv:1502.06121},
year = {2023}
}