FIBERS ON A GRAPH WITH LOCAL LOAD SHARING

Uma Divakaran () and Amit Dutta ()
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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

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 06, 919-926

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.

Keywords: Fiber bundles; critical behavior; networks; finite size scaling; avalanche size distribution (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183107010632

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