Driving, conservation and absorbing states in sandpiles

Details Driving, conservation and absorbing states in sandpiles Driving, conservation and absorbing states in sandpiles

1998-06-21

arxiv.org/abs/cond-mat/9806249v2

Physics

Condensed Matter

Statistical Mechanics

12 pages, 2 figures; revised version with substantial changes and improvements

Scientific paper

10.1103/PhysRevLett.81.5676

We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding fixed-energy model. The latter displays an absorbing-state phase transition with upper critical dimension $d_c=4$. We show that the driven model exhibits a fundamentally different approach to the critical point, and compute a subset of critical exponents. We present numerical simulations in support of our theoretical predictions.

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