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Renormalization group study of sandpile on the triangular lattice

Author

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  • Papoyan, Vl.V.
  • Povolotsky, A.M.

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.

Suggested Citation

  • Papoyan, Vl.V. & Povolotsky, A.M., 1997. "Renormalization group study of sandpile on the triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 241-252.
    • Handle: RePEc:eee:phsmap:v:246:y:1997:i:1:p:241-252
    DOI: 10.1016/S0378-4371(97)00347-6
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    References listed on IDEAS

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    1. Caldarelli, G. & Vespignani, A. & Pietronero, L., 1995. "Fixed scale transformation for fracture growth processes governed by vectorial fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(3), pages 223-232.
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