Rare events and breakdown of simple scaling in the Abelian sandpile model
Rare events and breakdown of simple scaling in the Abelian sandpile model
Due to intermittency and conservation, the Abelian sandpile in two dimensions obeys multifractal, rather than finite size scaling. In the thermodynamic limit, a vanishingly small fraction of large avalanches dominates the statistics and a constant gap scaling is recovered in higher moments of the toppling distribution. Thus, rare events shape …