2014/12/03 by Subhadeep Roy, Roy, Subhadeep, Purusattam Ray +1
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1412.1211
openalex publication_date 2014/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We report a novel critical behavior in the breakdown of an equal load sharing fiber bundle model at a dispersion δc of the breaking threshold of the fibers. For δ< δc, there is a finite probability Pb, that rupturing of the weakest fiber leads to the failure of the entire system. For δ≥ δc, Pb = 0. At δc, Pb ∼ L-η, with η≈ 1/3, where L is the size of the system. As δ→ δc, the relaxation time τ diverges obeying the finite size scaling law: τ∼ Lβ(|δ-δc| Lα) with α, β= 0.33 ± 0.05. At δc, the system fails, at the critical load, in avalanches (of rupturing fibers) of all sizes s following the distribution P(s) ∼ s-κ, with κ= 0.50 ± 0.01. We relate this critical behavior to brittle to quasi-brittle transition.