Driving sandpiles to criticality and beyond

Details Driving sandpiles to criticality and beyond Driving sandpiles to criticality and beyond

2009-12-16

arxiv.org/abs/0912.3206v4

Physical Review Letters, 104:145703, 2010

Physics

Condensed Matter

Statistical Mechanics

v4 adds reference

Scientific paper

10.1103/PhysRevLett.104.145703

A popular theory of self-organized criticality relates driven dissipative systems to systems with conservation. This theory predicts that the stationary density of the abelian sandpile model equals the threshold density of the fixed-energy sandpile. We refute this prediction for a wide variety of underlying graphs, including the square grid. Driven dissipative sandpiles continue to evolve even after reaching criticality. This result casts doubt on the validity of using fixed-energy sandpiles to explore the critical behavior of the abelian sandpile model at stationarity.

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