N. Azimi-Tafreshi, H. Dashti-Naserabadi, S. Moghimi-Araghi, P. Ruelle
Published 2009-12-17, updated 2009-12-20Version 2
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.
Comments: 24 pages, 5 figures
Journal: J.Stat Mech.1002:P02004,2010
Pair correlations in sandpile model: a check of logarithmic conformal field theory
Logarithmic two-point correlators in the Abelian sandpile model
Random site percolation on honeycomb lattices with complex neighborhoods
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