Phys. Rev. Lett. 77, 111–114 (1996)Universality in Sandpiles, Interface Depinning, and Earthquake ModelsReceived 15 March 1996; published in the issue dated 1 July 1996 Recent numerical results for a model describing dispersive transport in ricepiles are explained by mapping the model to the depinning transition of an elastic interface that is dragged at one end through a random medium. The average velocity of transport vanishes with system size L as 〈v〉∼L2-D∼L-0.23, and the avalanche size distribution exponent τ = 2-1/D≃1.55, where D≃2.23 from interface depinning. We conjecture that the purely deterministic Burridge-Knopoff “train” model for earthquakes is in the same universality class. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.111
DOI:
10.1103/PhysRevLett.77.111
PACS:
64.60.Lx, 05.60.+w, 46.30.Pa, 68.35.Fx
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