Power spectra of self-organized critical sandpiles

Details Power spectra of self-organized critical sandpiles Power spectra of self-organized critical sandpiles

2005-09-15

arxiv.org/abs/cond-mat/0509401v1

J.Stat.Mech.0511:L11001,2005

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures, submitted to JSTAT

Scientific paper

10.1088/1742-5468/2005/11/L11001

We analyze the power spectra of avalanches in two classes of self-organized critical sandpile models, the Bak-Tang-Wiesenfeld model and the Manna model. We show that these decay with a $1/f^\alpha$ power law, where the exponent value $\alpha$ is significantly smaller than 2 and equals the scaling exponent relating the avalanche size to its duration. We discuss the basic ingredients behind this result, such as the scaling of the average avalanche shape.

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