Exact solutions for a mean-field Abelian sandpile
- 7 October 1993
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 26 (19), L973-L980
- https://doi.org/10.1088/0305-4470/26/19/001
Abstract
We introduce a model for a sandpile, with N sites, critical height N and each site connected to every other site. It is thus a mean-field model in the spin-glass sense. We find an exact solution for the steady-state probability distribution of avalanche sizes, and discuss its asymptotics for large N.Keywords
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