Title: Dissipative Abelian sandpiles and random walks
Authors: Vanderzande, Carlo ×
Daerden, F #
Issue Date: Mar-2001
Publisher: Published by the American Physical Society through the American Institute of Physics
Series Title: Physical Review E, Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics vol:63 issue:3 pages:-
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.
ISSN: 2470-0045
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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