Abelian Sandpile Model on the Honeycomb Lattice

Details Abelian Sandpile Model on the Honeycomb Lattice Abelian Sandpile Model on the Honeycomb Lattice

2009-12-17

arxiv.org/abs/0912.3331v2

J.Stat Mech.1002:P02004,2010

Physics

Condensed Matter

Statistical Mechanics

24 pages, 5 figures

Scientific paper

10.1088/1742-5468/2010/02/P02004

We check the universality properties of the two-dimensional Abelian sandpile model by computing some of its properties on the honeycomb lattice. Exact expressions for unit height correlation functions in presence of boundaries and for different boundary conditions are derived. Also, we study the statistics of the boundaries of avalanche waves by using the theory of SLE and suggest that these curves are conformally invariant and described by SLE2.

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