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

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

2000-02-17

arxiv.org/abs/cond-mat/0002270v2

Phys. Rev. E 61, 5983 (2000)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.61.5983

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.

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