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

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

1999-03-17

arxiv.org/abs/cond-mat/9903270v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.83.3952

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.

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