Dimensional fragility of the Kardar-Parisi-Zhang universality class
Statistical Mechanics
2015-06-15 v2 Materials Science
Pattern Formation and Solitons
Computational Physics
Abstract
We assess the dependence on substrate dimensionality of the asymptotic scaling behavior of a whole family of equations that feature the basic symmetries of the Kardar-Parisi-Zhang (KPZ) equation. Even for cases in which, as expected from universality arguments, these models display KPZ values for the critical exponents and limit distributions, their behavior deviates from KPZ scaling for increasing system dimensions. Such a fragility of KPZ universality contradicts naive expectations, and questions straightforward application of universality principles for the continuum description of experimental systems.
Keywords
Cite
@article{arxiv.1304.5873,
title = {Dimensional fragility of the Kardar-Parisi-Zhang universality class},
author = {Matteo Nicoli and Rodolfo Cuerno and Mario Castro},
journal= {arXiv preprint arXiv:1304.5873},
year = {2015}
}