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http://hdl.handle.net/1942/2685
Title: | Dissipative Abelian sandpiles and random walks | Authors: | VANDERZANDE, Carlo DAERDEN, Frank |
Issue Date: | 2001 | Publisher: | AMERICAN PHYSICAL SOC | Source: | PHYSICAL REVIEW E, 6303(3) | Abstract: | We show that the dissipative Abelian sandpile on a graph L can be related to a random walk on a graph that consists of L extended with a trapping site. From this relation it can be shown, using exact results and a scaling assumption, that the correlation length exponent nu of the dissipative sandpiles always equals 1/d(w) where d(w) is the fractal dimension of the random walker. This leads to a new understanding of the known result that v = 1/2 on any Euclidean lattice. Our result is, however, more general, and as an example we also present exact data for finite Sierpinski gaskets, which fully confirm our predictions. | Notes: | Limburgs Univ Ctr, Dept Wiskunde Nat Informat, B-3590 Diepenbeek, Belgium.Vanderzande, C, Limburgs Univ Ctr, Dept Wiskunde Nat Informat, Univ Campus, B-3590 Diepenbeek, Belgium. | Document URI: | http://hdl.handle.net/1942/2685 | ISSN: | 1063-651X | ISI #: | 000167623900003 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2002 |
Appears in Collections: | Research publications |
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