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Avalanche Dynamics in Quenched Random Directed Sandpile Models |
| PAN Gui-Jun1,2;ZHANG Duan-Ming1;YIN Yan-Ping1;HE Min-Hua1 |
| 1Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
2Department of Physics, Hubei University, Wuhan 430062 |
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| Cite this article: |
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PAN Gui-Jun, ZHANG Duan-Ming, YIN Yan-Ping et al 2006 Chin. Phys. Lett. 23 2811-2814 |
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Abstract We numerically investigate the quenched random directed sandpile models which are local, conservative and Abelian. A local flow balance between the outflow of grains during a single toppling at a site and the total number of grains flowing into the same site plays an important role when all the nearest-neighbouring sites of the above-mentioned site topple for once. The quenched model has the same critical exponents with the Abelian deterministic directed sandpile model when the local flow balance exists, otherwise the critical exponents of this quenched model and the annealed Abelian random directed sandpile model are the same. These results indicate that the presence or absence of this local flow balance determines the universality class of the Abelian directed sandpile model.
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45.70.Ht
05.45.Df
05.65.+b
05.70.Jk
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Published: 01 October 2006
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