The Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension

Preprint

7 August 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9708055

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

WIESENFELD SANDPILE MODEL
PROBABILITY DISTRIBUTIONS
TANG WIESENFELD
BAK TANG
FRACTAL

All Related Versions

Version 1, 1997-08-07, ArXiv
Published version: Physical Review E, 56 (5), 5138.

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