Distribution of consecutive waves in the sandpile model on the Sierpinski gasket

Details Distribution of consecutive waves in the sandpile model on the Sierpinski gasket Distribution of consecutive waves in the sandpile model on the Sierpinski gasket

2000-03-17

arxiv.org/abs/cond-mat/0003298v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 7 figures

Scientific paper

The scaling properties of waves of topplings in the sandpile model on the Sierpinski gasket 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 probabilites for two consecutive waves are given. All predictions were examined by numerical simulations and were found to be in reasonable agreement with the obtained data.

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