Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension

We consider the Bak-Tang-Wiesenfeld sandpile model [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] on square lattices in different dimensions $(Dl~6).$ A finite-size scaling analysis of the avalanche probability distributions yields the values of the distribution exponents, the dynamical exponent, and the dimension of the avalanches. Above the upper critical dimension ${D}_{u}=4$ the exponents equal the known mean-field values. An analysis of the area probability distributions indicates that the avalanches are fractal above the critical dimension.

• Publication year

  1997

• Venue

  Physical Review E

• Publication date

  1997-08-07

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1103/PhysRevE.56.5138arXiv cond-mat/9708055
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• No references are available for this paper.

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