MINIMAL SANDPILES ON HEXAGONAL LATTICE

We study the minimal recurrent configurations of the Abelian sandpile model on the hexagonal lattice referred to the dynamics of a nonconsec utive sandpile model. The one-to-one correspondence between these conf igurations and the set of maximally oriented spanning trees on the tri angular sublattice is constructed. We derive the correlation functions in minimal recurrent configurations on a quasi-one-dimensional 2 x N lattice, compare them with correlations for ordinary recurrent configu rations, and argue for asymptotic equivalence between them.