Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3153
Title: Sandpiles on a Sierpinski gasket
Authors: DAERDEN, Frank 
VANDERZANDE, Carlo 
Issue Date: 1998
Publisher: ELSEVIER SCIENCE BV
Source: PHYSICA A, 256(3-4). p. 533-546
Abstract: We perform extensive simulations of the sandpile model on a Sierpinski gasket. Critical exponents for waves and avalanches are determined. We extend the existing theory of waves to the present case. This leads to an exact value for the exponent tau(w) which describes the distribution of wave sizes: tau(w) = ln(9/5)/ln 3. Numerically, it is found that the number of waves in an avalanche is proportional to the number of distinct sites toppled in the avalanche. This leads to a conjecture for the exponent tau that determines the distribution of avalanche sizes: tau = 1 + tau(w) = ln (27/5)/ln 3. Our predictions are in good agreement with the numerical results. (C) 1998 Elsevier Science B.V. All rights reserved.
Notes: Limburgs Univ Ctr, Dept Wiskunde Natuurkunde Informat, B-3590 Diepenbeek, Belgium.Vanderzande, C, Limburgs Univ Ctr, Dept Wiskunde Natuurkunde Informat, Univ Campus, B-3590 Diepenbeek, Belgium.
Keywords: sandpile model; fractals
Document URI: http://hdl.handle.net/1942/3153
DOI: 10.1016/S0378-4371(98)00210-6
ISI #: 000075625600019
Type: Journal Contribution
Validations: ecoom 1999
Appears in Collections:Research publications

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