1998•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsRequires access

Scaling exponents of sandpile-type models of self-organized criticality

S. D. Edney, P. A. Robinson, D. Chisholm

Abstract

Critical scaling exponents for eight sandpile-type systems that display self-organized criticality are determined numerically. These results are consistent with previous results where available and provide a more extensive, accurate, and consistent set of exponents than has previously been published for the set of models overall. Several theoretical interrelationships between the various exponents are verified.

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Key concepts: Abelian sandpile model, Criticality, Scaling, Self-organized criticality, Critical exponent, Statistical physics, Type (biology), Set (abstract data type)