Mesoscopic Description of the Equal Load Sharing Fiber Bundle Model
arXiv:1802.01083 · doi:10.1103/PhysRevE.98.032117
Abstract
One aim of the equal load sharing fiber bundle model is to describe the critical behavior of failure events. One way of accomplishing this, is through a discrete recursive dynamics. We introduce a continuous mesoscopic equation catching the critical behavior found through recursive dynamics. It allows us to link the model with the unifying framework of absorbing phase transitions traditionally used in the study of non-equilibrium phase transitions. Moreover, it highlights the analogy between equal load sharing and spinodal nucleation. Consequently, this work is a first step towards the quest of a field theory for fiber bundle models.
arXiv comment5 pages, 2 figures
References in corpus (8)
- Failure Processes in Elastic Fiber Bundles
- First-Order Transition in the Breakdown of Disordered Media
- Stochastic population dynamics in spatially extended predator-prey systems
- An exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media
- Phase transition in fiber bundle models with recursive dynamics
- Confirming and extending the hypothesis of universality in sandpiles
- A renormalization group study of a class of reaction-diffusion model, with particles input
- The Local load sharing fiber bundle model in higher dimensions