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

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

1997-08-07

arxiv.org/abs/cond-mat/9708055v1

Physical Review E 56, 5138 (1997)

Physics

Condensed Matter

7 pages, including 9 figures, accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.56.5138

We consider the Bak-Tang-Wiesenfeld sandpile model on square lattices in different dimensions (D>=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.

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