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Sandpile on directed small-world networks

Author

Listed:
  • Pan, Gui-Jun
  • Zhang, Duan-Ming
  • Yin, Yan-Ping
  • He, Min-Hua

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.

Suggested Citation

  • Pan, Gui-Jun & Zhang, Duan-Ming & Yin, Yan-Ping & He, Min-Hua, 2007. "Sandpile on directed small-world networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 435-442.
    • Handle: RePEc:eee:phsmap:v:383:y:2007:i:2:p:435-442
    DOI: 10.1016/j.physa.2007.04.113
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    Cited by:

    1. Mathieu Carrière & Marco Cuturi & Steve Oudot, 2017. "Sliced Wasserstein Kernel for Persistence Diagrams," Working Papers 2017-82, Center for Research in Economics and Statistics.
    2. Nicky Zachariou & Paul Expert & Misako Takayasu & Kim Christensen, 2015. "Generalised Sandpile Dynamics on Artificial and Real-World Directed Networks," PLOS ONE, Public Library of Science, vol. 10(11), pages 1-13, November.

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