Fibers on a graph with local load sharing

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 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.

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

References in corpus (2)

• Universality Class of Fiber Bundle Model on Complex Networks
• Phase transition in the modified fiber bundle model

Cited by in corpus (1)

• A random fiber bundle with many discontinuities in the threshold distribution