Large-scale simulations of the Zhang sandpile model
- 1 August 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 56 (2) , 1590-1594
- https://doi.org/10.1103/physreve.56.1590
Abstract
We consider the non-Abelian sandpile model introduced by Y.-C. Zhang [Phys. Rev. Lett. 63, 470 (1989)] 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 [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)]. A detailed analysis that takes the finite-size effects into account yields that the exponents of the avalanche probability distribution are the same as in the Abelian model.Keywords
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