Two-component abelian sandpile models
Statistical Mechanics
2009-04-25 v2
Abstract
In one-component abelian sandpile models, the toppling probabilities are independent quantities. This is not the case in multi-component models. The condition of associativity of the underlying abelian algebras impose nonlinear relations among the toppling probabilities. These relations are derived for the case of two-component quadratic abelian algebras. We show that abelian sandpile models with two conservation laws have only trivial avalanches.
Cite
@article{arxiv.0810.4053,
title = {Two-component abelian sandpile models},
author = {F. C. Alcaraz and P. Pyatov and V. Rittenberg},
journal= {arXiv preprint arXiv:0810.4053},
year = {2009}
}
Comments
Final version. To appear in Phys.Rev.E