The Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension
Condensed Matter
2009-10-30 v1
Abstract
We consider the Bak-Tang-Wiesenfeld sandpile model on square lattices in different dimensions (D>=6). A finite size scaling analysis of the avalanche probability distributions yields the values of the distribution exponents, the dynamical exponent, and the dimension of the avalanches. Above the upper critical dimension D_u=4 the exponents equal the known mean field values. An analysis of the area probability distributions indicates that the avalanches are fractal above the critical dimension.
Keywords
Cite
@article{arxiv.cond-mat/9708055,
title = {The Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension},
author = {S. Lubeck and K. D. Usadel},
journal= {arXiv preprint arXiv:cond-mat/9708055},
year = {2009}
}
Comments
7 pages, including 9 figures, accepted for publication in Physical Review E