Large scale simulations of the Zhang sandpile model
Statistical Mechanics
2009-10-30 v1
Abstract
We consider the non Abelian sandpile model introduced by Y.-C. Zhang on a two-dimensional square lattice. The static and dynamical properties of the model are investigated and compared to the Abelian sandpile model of Bak, Tang and Wiesenfeld. A detailed analysis which takes the finite size effects into account yields that the exponents of the avalanche probability distribution are the same as in the Abelian model.
Keywords
Cite
@article{arxiv.cond-mat/9705203,
title = {Large scale simulations of the Zhang sandpile model},
author = {S. Lubeck},
journal= {arXiv preprint arXiv:cond-mat/9705203},
year = {2009}
}
Comments
6 pages, 8 figures, accepted for publication Physical Review E