Phys. Rev. Lett. 89, 104303 (2002) [4 pages]Generic Sandpile Models Have Directed Percolation ExponentsReceived 20 February 2002; published 20 August 2002 We study sandpile models with stochastic toppling rules and having sticky grains so that with a nonzero probability no toppling occurs, even if the local height of pile exceeds the threshold value. Dissipation is introduced by adding a small probability of particle loss at each toppling. Generically for the models with a preferred direction, the avalanche exponents are those of critical directed percolation clusters. For undirected models, avalanche exponents are those of directed percolation clusters in one higher dimension. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.104303
DOI:
10.1103/PhysRevLett.89.104303
PACS:
45.70.Ht, 05.65.+b, 64.60.Ak, 64.60.Fr
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