$1/f^{\alpha }$ fluctuations in a ricepile model

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 $1/f^{\alpha }$ with $\alpha \approx 1.3$ 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.

4 pages, 4 eps figures; Revtex format, published version

References in corpus (3)

• Universal 1/f Noise from Dissipative SOC Models
• 1/f Noise and Long Configuration Memory in Bak-Tang-Wiesenfeld Models on Narrow Stripes
• Disorder-induced phase transition in a one-dimensional model of rice pile

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