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Power spectra of self-organized critical sandpiles

Lasse Laurson·Mikko J. Alava·Stefano Zapperi
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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 $1/f^α$ 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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Lasse Laurson, Mikko J. Alava, Stefano Zapperi. 2005-09-15. Power spectra of self-organized critical sandpiles. https://doi.org/10.1088/1742-5468%2F2005%2F11%2Fl11001

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