Universality Class of Fiber Bundle Model on Complex Networks
arXiv:cond-mat/0408580 · doi:10.1103/PhysRevLett.94.025501
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.
References in corpus (14)
- Universal Behavior of Load Distribution in Scale-free Networks
- First-Order Transition in the Breakdown of Disordered Media
- Instability of scale-free networks under node-breaking avalanches
- Vertex overload breakdown in evolving networks
- Tri-critical behavior in rupture induced by disorder
- Burst avalanches in solvable models of fibrous materials
- Fracture model with variable range of interaction
- Avalanches in Breakdown and Fracture Processes
- Fracture and second-order phase transitions
- Dynamic critical behavior of failure and plastic deformation in the random fiber bundle model
- Precursors of catastrophe in the BTW, Manna and random fiber bundle models of failure
- Phase transition in fiber bundle models with recursive dynamics
- Comment on "Tricritical Behavior in Rupture Induced by Disorder"
- Phase transition in the modified fiber bundle model
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