Sandpile on directed small-world networks

Gui-Jun Pan, Duan-Ming Zhang, Yan-Ping Yin and Min-Hua He

Physica A: Statistical Mechanics and its Applications, 2007, vol. 383, issue 2, 435-442

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.

Keywords: Sandpile; Direct; Small-world networks (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:383:y:2007:i:2:p:435-442

DOI: 10.1016/j.physa.2007.04.113

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