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IOP Publishing, Journal of Statistical Mechanics: Theory and Experiment, 11(2005), p. L11001-L11001, 2005

DOI: 10.1088/1742-5468/2005/11/l11001

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Power spectra of self-organized critical sandpiles

Journal article published in 2005 by Lasse Laurson ORCID, Mikko J. Alava, Stefano Zapperi
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This paper is available in a repository.

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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. ; Comment: 7 pages, 3 figures, submitted to JSTAT