Universality classes in the random-storage sandpile model
Abstract
The avalanche statistics in a stochastic sandpile model where toppling takes place with a probability p is investigated. The limiting case p=1 corresponds to the Bak-Tang-Wiesenfeld (BTW) model with deterministic toppling rule. Based on the moment analysis of the distribution of avalanche sizes we conclude that for 0<p<pc the model belongs to the DP universality class while for pc<p<1 it belongs to the BTW universality class, where pc is identified with the critical probability for directed percolation in the corresponding lattice.
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