Waves in the sandpile model on fractal lattices

F. Daerden, V.B. Priezzhev and C. Vanderzande

Physica A: Statistical Mechanics and its Applications, 2001, vol. 292, issue 1, 43-54

Abstract: The scaling properties of waves of topplings of the sandpile model on a fractal lattice are investigated. The exponent describing the asymptotics of the distribution of last waves in an avalanche is found. Predictions for scaling exponents in the forward and backward conditional probabilities for two consecutive waves are given. All predictions were examined by simulations on the Sierpinski gasket and were found to be in a reasonable agreement with the numerical data.

Keywords: Self-organized criticality; Sandpiles; Fractals (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:292:y:2001:i:1:p:43-54

DOI: 10.1016/S0378-4371(00)00553-7

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