Multifractal scaling in the Bak-Tang-Wiesenfeld Sandpile and edge events

Preprint

17 March 1999

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9903270

Abstract

An analysis of moments and spectra 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. Rare, large avalanches dissipating at the border influence the statistics very sensibly. Only once they are excluded from the sample, the conditional toppling distribution for given area simplifies enough to show also a well defined, multifractal scaling. The resulting picture brings to light unsuspected, novel physics in the model.

Keywords

MULTIFRACTAL SCALING
WIESENFELD SANDPILE
TANG WIESENFELD
DISTRIBUTION
TOPPLING
BAK TANG

All Related Versions

Version 1, 1999-03-17, ArXiv
Published version: Physical Review Letters, 83 (19), 3952.

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