Universality Class of Fiber Bundle Model on Complex Networks

TL;DR

This paper demonstrates that fiber bundle models with local load sharing on complex networks exhibit critical behavior characteristic of global load sharing universality, driven by the emergence of a dominant hub cluster.

Contribution

It reveals that local load sharing in complex networks can lead to global load sharing universality due to hub cluster formation, combining numerical and analytical methods.

Findings

Critical behavior matches global load sharing universality class.

Emergence of a dominant hub cluster causes global load sharing.

Numerical simulations and analytical approaches confirm the results.

Abstract

We investigate the failure characteristics of complex networks within the framework of the fiber bundle model subject to the local load sharing rule in which the load of the broken fiber is transferred only to its neighbor fibers. Although the load sharing is strictly local, it is found that the critical behavior belongs to the universality class of the global load sharing where the load is transferred equally to all fibers in the system. From the numerical simulations and the analytical approach applied to the microscopic behavior, it is revealed that the emergence of a single dominant hub cluster of broken fibers causes the global load sharing effect in the failure process.