Rare events and breakdown of simple scaling in the Abelian sandpile model
- 1 September 1998
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 58 (3) , R2677-R2680
Abstract
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 most of the scaling pattern and preserve a meaning for effective exponents, which can be determined on the basis of numerical and exact results.Keywords
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