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$1/f^α$ fluctuations in a ricepile model

Shu-dong Zhang
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Abstract

The temporal fluctuation of the average slope of a ricepile model is investigated. It is found that the power spectrum $S(f)$ scales as $1/f^α$ with $α\approx 1.3$ when grains of rice are added only to one end of the pile. If grains are randomly added to the pile, the power spectrum exhibits $1/f^2$ behaviour. The profile fluctuations of the pile under different driving mechanisms are also discussed.

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BibTeXRIS

Shu-dong Zhang. 2000-05-23. $1/f^α$ fluctuations in a ricepile model. https://doi.org/10.1103/physreve.61.5983

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