Phys. Rev. Lett. 94, 088002 (2005) [4 pages]Precise Toppling Balance, Quenched Disorder, and Universality for SandpilesReceived 4 December 2003; published 4 March 2005 A single sandpile model with quenched random toppling matrices captures the crucial features of different models of self-organized criticality. With symmetric matrices avalanche statistics falls in the multiscaling Bak-Tang-Wiesenfeld universality class. In the asymmetric case the simple scaling of the Manna model is observed. The presence or absence of a precise toppling balance between the amount of sand released by a toppling site and the total quantity the same site receives when all its neighbors topple once determines the appropriate universality class. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.088002
DOI:
10.1103/PhysRevLett.94.088002
PACS:
45.70.Ht, 05.45.Df, 05.65.+b, 05.70.Jk
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