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Please use this identifier to cite or link to this item: 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
Citation: 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.
URI: http://hdl.handle.net/1942/2685
ISI #: 000167623900003
ISSN: 1063-651X
Category: A1
Type: Journal Contribution
Validation: ecoom, 2002
Appears in Collections: Research publications

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