Phase transition in the modified fiber bundle model

TL;DR

This paper introduces a modified fiber bundle model that relaxes load conservation upon fiber failure, revealing phase transitions in one-dimensional and Watts-Strogatz network configurations, with distinct transition types.

Contribution

It presents a novel modification to the fiber bundle model that uncovers phase transitions not observed in the standard model, including in complex network topologies.

Findings

Phase transition at finite load in 1D modified FBM

Existence of two distinct transitions in Watts-Strogatz networks

Long-range shortcuts influence transition behavior

Abstract

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.