Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections
Statistical Mechanics
2009-11-13 v1 Mathematical Physics
math.MP
Probability
Abstract
In this note we analyze an anisotropic, two-dimensional bootstrap percolation model introduced by Gravner and Griffeath. We present upper and lower bounds on the finite-size effects. We discuss the similarities with the semi-oriented model introduced by Duarte.
Cite
@article{arxiv.cond-mat/0702145,
title = {Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections},
author = {Aernout C. D. van Enter and Tim Hulshof},
journal= {arXiv preprint arXiv:cond-mat/0702145},
year = {2009}
}
Comments
Key words: Bootstrap percolation, anisotropy, finite-size effects