Fibers on a graph with local load sharing

Details Fibers on a graph with local load sharing Fibers on a graph with local load sharing

2006-12-15

arxiv.org/abs/cond-mat/0612384v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 6 figures, To appear in International Journal of Modern Physics C

Scientific paper

10.1142/S0129183107010632

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 behaviour of the model numerically using a finite size scaling method and the mean field critical behaviour is established. The avalanche size distribution is also found to exhibit a mean field nature in the asymptotic limit.

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