Renormalization group study of sandpile on the triangular lattice

Vl.V. Papoyan and A.M. Povolotsky

Physica A: Statistical Mechanics and its Applications, 1997, vol. 246, issue 1, 241-252

Abstract: We apply the renormalization group approach to the sandpile on the triangular lattice. The only attractive fixed point is found. The obtained fixed point height probabilities are compared with numerical simulations. The value of critical exponent of avalanche size distribution is found to be τ = 1.36. The probabilities of the sand transition are compared with the branching probabilities of the spanning trees on the triangular lattice which are also evaluated.

Keywords: Self-organized criticality; Sandpile; Renormalization group; Spanning trees (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:246:y:1997:i:1:p:241-252

DOI: 10.1016/S0378-4371(97)00347-6

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