Universality Class of Fiber Bundle Model on Complex Networks
Statistical Mechanics
2007-05-23 v2 Disordered Systems and Neural Networks
Materials Science
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.
Keywords
Cite
@article{arxiv.cond-mat/0408580,
title = {Universality Class of Fiber Bundle Model on Complex Networks},
author = {Dong-Hee Kim and Beom Jun Kim and Hawoong Jeong},
journal= {arXiv preprint arXiv:cond-mat/0408580},
year = {2007}
}