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Distribution of Heights in the Abelian Sandpile Model on the Husimi Lattice

Vl. V. Papoyan, R. R. Shcherbakov

cond-matarXiv:cond-mat/9603137

Abstract

An Abelian sandpile model is considered on the Husimi lattice of triangles with an arbitrary coordination number q. Exact expressions for the distribution of height probabilities in the Self-Organized Critical state are derived.

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