Sandpile on directed small-world networks |
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Authors: | Gui-Jun Pan Duan-Ming Zhang |
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Institution: | a Department of Physics, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, PR China b Key Lab of Ferro & Piezoelectric Materials and Devices of Hubei Province, Faculty of Physics & Electronic Technology, Hubei University, Wuhan 430062, PR China |
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Abstract: | We numerically investigate the avalanche dynamics of the Bak-Tang-Wiesenfeld sandpile model on directed small-world networks. We find that the avalanche size and duration distribution follow a power law for all rewiring probabilities p. Specially, we find that, approaching the thermodynamic limit (L→∞), the values of critical exponents do not depend on p and are consistent with the mean-field solution in Euclidean space for any p>0. In addition, we measure the dynamic exponent in the relation between avalanche size and avalanche duration and find that the values of the dynamic exponents are also consistent with the mean-field values for any p>0. |
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Keywords: | 05 65 +b 45 70 Ht 89 75 Hc 05 70 Ln |
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