Avalanche structure in a running sandpile model.
The probability distribution function of the avalanche size in the sandpile model does not verify strict self-similarity under changes of the sandpile size. Here we show the existence of avalanches with different space-time structure, and each type of avalanche has a different scaling with the sandpile size. This is the main cause of the lack of self-similarity of the probability distribution function of the avalanche sizes, although the boundary effects can also play a role.
Carreras
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BA
Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-8070, USA.
Lynch
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VE
Newman
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DE
Sanchez
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R