IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v383y2007i2p435-442.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437107004001
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2007.04.113?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. Mathieu Carrière & Marco Cuturi & Steve Oudot, 2017. "Sliced Wasserstein Kernel for Persistence Diagrams," Working Papers 2017-82, Center for Research in Economics and Statistics.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:383:y:2007:i:2:p:435-442. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.