Exact Height Probabilities in the Abelian Sandpile Model

Priezzhev, V. B. (1992) Exact Height Probabilities in the Abelian Sandpile Model. (Preprint)

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Abstract

We study Bak, Tang and Wiesenfeld’s Abelian sandpile model of self-organized criticality on 2D square lattice. A combinatorial method for evaluation of height probabilities is proposed. Exact analytical expression for the fractional number of sites having height 2 is obtained.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:12
Last Modified: 19 Jul 2018 12:58
URI: http://dair.dias.ie/id/eprint/728

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