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Fibers On A Graph With Local Load Sharing

Author

Listed:
  • UMA DIVAKARAN

    (Department of Physics, Indian Institute of Technology, Kanpur 208 016, India)

  • AMIT DUTTA

    (Department of Physics, Indian Institute of Technology, Kanpur 208 016, India)

Abstract

We study a random fiber bundle model with tips of the fibers placed on a graph having co-ordination number 3. These fibers follow local load sharing with uniformly distributed threshold strengths of the fibers. We have studied the critical behavior of the model numerically using a finite size scaling method and the mean field critical behavior is established. The avalanche size distribution is also found to exhibit a mean field nature in the asymptotic limit.

Suggested Citation

  • Uma Divakaran & Amit Dutta, 2007. "Fibers On A Graph With Local Load Sharing," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 919-926.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:06:n:s0129183107010632
    DOI: 10.1142/S0129183107010632
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    Cited by:

    1. Batool, Attia & Pál, Gergő & Danku, Zsuzsa & Kun, Ferenc, 2022. "Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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