Power spectra of self-organized critical sandpiles

We analyse 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/fα power law, where the exponent value α 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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