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Controlling self-organized criticality in sandpile models

R.F. Andrade - UFBA

We introduce an external control to reduce the size of avalanches

in some sandpile models exhibiting self organized criticality.

This rather intuitive approach seems to be missing in the vast

literature on such systems. The control action, which amounts to

triggering avalanches in sites that are near to be come critical,

reduces the probability of very large events, so that energy

dissipation occurs most locally. The control is applied to a

directed Abelian sandpile model driven by both uncorrelated and

correlated deposition. The latter is essential to design an

efficient and simple control heuristic, but has only small

influence in the uncontrolled avalanche probability distribution.

The proposed control seeks a tradeoff between control cost and

large event risk.