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

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

1997-02-06

arxiv.org/abs/cond-mat/9702059v2

Physical Review E 55, 4095 (1997)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 figures

Scientific paper

10.1103/PhysRevE.55.4095

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.

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