Exact solutions for a mean-field Abelian sandpile
adap-org
2009-10-22 v1 Condensed Matter
Adaptation and Self-Organizing Systems
Abstract
We introduce a model for a sandpile, with N sites, critical height N and each site connected to every other site. It is thus a mean-field model in the spin-glass sense. We find an exact solution for the steady state probability distribution of avalanche sizes, and discuss its asymptotics for large N.
Keywords
Cite
@article{arxiv.adap-org/9306004,
title = {Exact solutions for a mean-field Abelian sandpile},
author = {Steven A. Janowsky and Claude A. Laberge},
journal= {arXiv preprint arXiv:adap-org/9306004},
year = {2009}
}
Comments
10 pages, LaTeX