Abelian Sandpile Model on the Honeycomb Lattice
Statistical Mechanics
2011-02-16 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We check the universality properties of the two-dimensional Abelian sandpile model by computing some of its properties on the honeycomb lattice. Exact expressions for unit height correlation functions in presence of boundaries and for different boundary conditions are derived. Also, we study the statistics of the boundaries of avalanche waves by using the theory of SLE and suggest that these curves are conformally invariant and described by SLE2.
Keywords
Cite
@article{arxiv.0912.3331,
title = {Abelian Sandpile Model on the Honeycomb Lattice},
author = {N. Azimi-Tafreshi and H. Dashti-Naserabadi and S. Moghimi-Araghi and P. Ruelle},
journal= {arXiv preprint arXiv:0912.3331},
year = {2011}
}
Comments
24 pages, 5 figures