Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure
Statistical Mechanics
2012-10-29 v1
Abstract
In [arXiv:0804.3035] we studied an interacting particle system which can be also interpreted as a stochastic growth model. This model belongs to the anisotropic KPZ class in 2+1 dimensions. In this paper we present the results that are relevant from the perspective of stochastic growth models, in particular: (a) the surface fluctuations are asymptotically Gaussian on a sqrt(ln(t)) scale and (b) the correlation structure of the surface is asymptotically given by the massless field.
Keywords
Cite
@article{arxiv.0811.0682,
title = {Anisotropic KPZ growth in 2+1 dimensions: fluctuations and covariance structure},
author = {Patrik L. Ferrari and Alexei Borodin},
journal= {arXiv preprint arXiv:0811.0682},
year = {2012}
}
Comments
13 pages, 4 figures