Driving Sandpiles to Criticality and Beyond
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 un...
Main Authors: | , , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
American Physical Society,
2010-09-20T19:54:55Z.
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Subjects: | |
Online Access: | Get fulltext |
Summary: | 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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