- 93-176 Janowsky Steven A., Laberge Claude A.
- Exact solutions for a mean-field Abelian sandpile
Jun 14, 93
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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.