2020/12/21 by Subhadeep Roy, Soumyajyoti Biswas
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Bundle #Distribution (mathematics) #Energy (signal processing) #Exponent #Exponential distribution #Exponential function #Fiber #Fiber bundle #Gamma distribution #Materials science #Mathematical analysis #Mathematics #Mechanics #Nonlinear Dynamics and Pattern Formation #Optical Network Technologies #Physics #Power (physics) #Power law #Quantum mechanics #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.3389/fphy.2021.643602
published as Frontiers in Physics 9, 643602 (2021) · 7 pages, 7 figures
arxiv created 2020/12/21 · openalex publication_date 2021/04/13 · arxiv updated 2022/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the local load sharing fiber bundle model and its energy burst statistics. While it is known that the avalanche size distribution of the model is exponential, we numerically show here that the avalanche size (s) and the corresponding energy burst (E) in this version of the model have a non-linear relation (E∼ sγ). Numerical results indicate that γ≈ 2.5 universally for different failure threshold distributions. With this numerical observation, it is then possible to show that the energy burst distribution is a power law, with a universal exponent value of -(γ+1).