A widely applicable analysis of numerical data shows that, while the distribution of avalanche areas obeys finite size scaling, that of toppling numbers is universally characterized by a full, nonlinear multifractal spectrum. Boundary effects determine an unusual dependence on system size of the moment scaling exponents of the conditional toppling distribution at a given area. This distribution is also multifractal in the bulk regime. The resulting picture brings to light unsuspected physics of this long-studied prototype model.
Multifractal Scaling in the Bak-Tang-Wiesenfeld Sandpile and Edge Events
STELLA, ATTILIO
1999
Abstract
A widely applicable analysis of numerical data shows that, while the distribution of avalanche areas obeys finite size scaling, that of toppling numbers is universally characterized by a full, nonlinear multifractal spectrum. Boundary effects determine an unusual dependence on system size of the moment scaling exponents of the conditional toppling distribution at a given area. This distribution is also multifractal in the bulk regime. The resulting picture brings to light unsuspected physics of this long-studied prototype model.
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