Sandpile probabilities on triangular and hexagonal lattices
Statistical Mechanics
2018-01-03 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We consider the Abelian sandpile model on triangular and hexagonal lattices. We compute several height probabilities on the full plane and on half-planes, and discuss some properties of the universality of the model.
Cite
@article{arxiv.1708.03493,
title = {Sandpile probabilities on triangular and hexagonal lattices},
author = {Adrien Poncelet and Philippe Ruelle},
journal= {arXiv preprint arXiv:1708.03493},
year = {2018}
}
Comments
26 pages, 12 figures. v2 and v3: minor corrections