Numerical Determination of the Avalanche Exponents of the Bak-Tang-Wiesenfeld Model

Preprint

17 May 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9702059

Abstract

We consider the Bak-Tang-Wiesenfeld sandpile model on a two-dimensional square lattice of lattice sizes up to L=4096. A detailed analysis of the probability distribution of the size, area, duration and radius of the avalanches will be given. To increase the accuracy of the determination of the avalanche exponents we introduce a new method for analyzing the data which reduces the finite-size effects of the measurements. The exponents of the avalanche distributions differ slightly from previous measurements and estimates obtained from a renormalization group approach.

Keywords

PROBABILITY DISTRIBUTION
NUMERICAL DETERMINATION
AVALANCHE EXPONENTS
TANG WIESENFELD
WIESENFELD
EXPONENTS
BAK TANG
MODEL

All Related Versions

Version 1, 1997-02-06, ArXiv
Version 2, 1997-05-17, ArXiv
Published version: Physical Review E, 55 (4), 4095.

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