Power spectra of self-organized critical sandpiles

2005/09/15 by Lasse Laurson, Mikko J. Alava, Stefano Zapperi · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #astro-ph

paper · pdf · doi:10.1088/1742-5468/2005/11/l11001

published as J.Stat.Mech.0511:L11001,2005 · 7 pages, 3 figures, submitted to JSTAT

arxiv created 2005/09/15 · arxiv updated 2011/02/16

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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