Abelian Sandpile Model on the Husimi Lattice of Square Plaquettes

Details Abelian Sandpile Model on the Husimi Lattice of Square Plaquettes Abelian Sandpile Model on the Husimi Lattice of Square Plaquettes

1996-03-20

arxiv.org/abs/cond-mat/9603138v1

Journal of Phys.A: Math.Gen. v.28 (1995) 6099-6107

Physics

Condensed Matter

12 pages, LaTeX, source files and some additional information available at http://thsun1.jinr.dubna.su/~shcher/

Scientific paper

10.1088/0305-4470/28/21/014

An Abelian sandpile model is considered on the Husimi lattice of square
plaquettes. Exact expressions for the distribution of height probabilities in
the Self-Organized Critical state are derived. The two-point correlation
function for the sites deep inside the Husimi lattice is calculated exactly.

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