Exact solutions for a mean-field Abelian sandpile

Details Exact solutions for a mean-field Abelian sandpile Exact solutions for a mean-field Abelian sandpile

1993-06-14

arxiv.org/abs/adap-org/9306004v1

J. Physics A 26, L973-L980 (1993)

Physics

Condensed Matter

10 pages, LaTeX

Scientific paper

10.1088/0305-4470/26/19/001

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.

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