Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975484 | Physica A: Statistical Mechanics and its Applications | 2007 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Gui-Jun Pan, Duan-Ming Zhang, Yan-Ping Yin, Min-Hua He,