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Generic Sandpile Models Have Directed Percolation Exponents | | P. K. Mohanty
; Deepak Dhar
; | | Date: |
20 Feb 2002 | | Journal: | Phys. Rev. Lett. 89, 104303 (2002) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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. | | Source: | arXiv, cond-mat/0202345 | | Other source: | [GID 1022058] pmid12225197 | | Services: | Forum | Review | PDF | Favorites | |
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