Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-05-20
Physical Review E 56, 1590 (1997).
Physics
Condensed Matter
Statistical Mechanics
6 pages, 8 figures, accepted for publication Physical Review E
Scientific paper
10.1103/PhysRevE.56.1590
We consider the non Abelian sandpile model introduced by Y.-C. Zhang on a two-dimensional square lattice. The static and dynamical properties of the model are investigated and compared to the Abelian sandpile model of Bak, Tang and Wiesenfeld. A detailed analysis which takes the finite size effects into account yields that the exponents of the avalanche probability distribution are the same as in the Abelian model.
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