Mesoscopic Description of the Equal Load Sharing Fiber Bundle Model

TL;DR

This paper introduces a continuous mesoscopic equation for the equal load sharing fiber bundle model, linking it to phase transition frameworks and spinodal nucleation, advancing towards a field theory for such models.

Contribution

It presents a novel mesoscopic equation capturing critical behavior, connecting fiber bundle models with non-equilibrium phase transition theories.

Findings

The mesoscopic equation reproduces critical failure behavior.

Links fiber bundle models to absorbing phase transitions.

Highlights analogy with spinodal nucleation.

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.