Waves in the sandpile model on fractal lattices

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 tw...

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Bibliographic Details
Published inPhysica A Vol. 292; no. 1; pp. 43 - 54
Main Authors Daerden, F., Priezzhev, V.B., Vanderzande, C.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.03.2001
Subjects
Fractals
Sandpiles
Self-organized criticality
Self-organized criticality
Sandpiles
Fractals
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Summary: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.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(00)00553-7