Generic Sandpile Models Have Directed Percolation Exponents

Details Generic Sandpile Models Have Directed Percolation Exponents Generic Sandpile Models Have Directed Percolation Exponents

2002-02-20

arxiv.org/abs/cond-mat/0202345v2

Phys. Rev. Lett. 89, 104303 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, minor changes

Scientific paper

10.1103/PhysRevLett.89.104303

We study sandpile models with stochastic toppling rules and having sticky grains so that with a non-zero 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 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.

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