Power spectra of self-organized critical sandpiles

Abstract

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.

7 pages, 3 figures, submitted to JSTAT

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• Critical Scale-invariance in Healthy Human Heart Rate
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