Phase transition in the modified fiber bundle model

Details Phase transition in the modified fiber bundle model Phase transition in the modified fiber bundle model

2004-04-21

arxiv.org/abs/cond-mat/0404481v1

Europhys. Lett. 66, 819 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, to appear in Europhys. Lett

Scientific paper

10.1209/epl/i2004-10038-4

We extend the standard fiber bundle model (FBM) with the local load sharing in such a way that the conservation of the total load is relaxed when an isolated fiber is broken. In this modified FBM in one dimension (1D), it is revealed that the model exhibits a well-defined phase transition at a finite nonzero value of the load, which is in contrast to the standard 1D FBM. The modified FBM defined in the Watts-Strogatz network is also investigated, and found is the existences of two distinct transitions: one discontinuous and the other continuous. The effects of the long-range shortcuts are also discussed.

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