Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-02-06
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.
Lubeck Sven
Usadel K. D.
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