KPZ universality class and the anchored Toom interface
Mathematical Physics
2015-06-19 v2 Statistical Mechanics
math.MP
Probability
Abstract
We revisit the anchored Toom interface and use KPZ scaling theory to argue that the interface fluctuations are governed by the Airy_1 process with the role of space and time interchanged. There is no free parameter. The predictions are numerically well confirmed for space-time statistics in the stationary state. In particular the spatial fluctuations of the interface are given by the GOE edge distribution of Tracy and Widom.
Cite
@article{arxiv.1405.7837,
title = {KPZ universality class and the anchored Toom interface},
author = {G. T. Barkema and P. L. Ferrari and J. L. Lebowitz and H. Spohn},
journal= {arXiv preprint arXiv:1405.7837},
year = {2015}
}
Comments
17 pages, 4 figures