Large Scale Structures, Symmetry, and Universality in Sandpiles
Statistical Mechanics
2009-11-07 v1
Abstract
We introduce a sandpile model where, at each unstable site, all grains are transferred randomly to downstream neighbors. The model is local and conservative, but not Abelian. This does not appear to change the universality class for the avalanches in the self-organized critical state. It does, however, introduce long-range spatial correlations within the metastable states. We find large scale networks of occupied sites whose density vanishes in the thermodynamic limit, for d>1.
Keywords
Cite
@article{arxiv.cond-mat/0105408,
title = {Large Scale Structures, Symmetry, and Universality in Sandpiles},
author = {David Hughes and Maya Paczuski},
journal= {arXiv preprint arXiv:cond-mat/0105408},
year = {2009}
}
Comments
4 pages, 5 figures, submitted to Phys. Rev. Lett