Precise toppling balance, quenched disorder, and universality for sandpiles

Details Precise toppling balance, quenched disorder, and universality for sandpiles Precise toppling balance, quenched disorder, and universality for sandpiles

2003-12-04

arxiv.org/abs/cond-mat/0312127v2

Phys. Rev. Lett, 94, 088002 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 Revtex pages, 4 figures

Scientific paper

10.1103/PhysRevLett.94.088002

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 BTW 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.

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