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. © 1998 The American Physical Society.

Rare events and breakdown of simple scaling in the Abelian sandpile model

TEBALDI, CLAUDIO;
1998-01-01

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. © 1998 The American Physical Society.
1998
M., De Menech; Tebaldi, Claudio; A., Stella
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11565/3717193
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