Multifractal Scaling in the Bak-Tang-Wiesenfeld Sandpile and Edge Events
Multifractal Scaling in the Bak-Tang-Wiesenfeld Sandpile and Edge Events
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 …