2016/08/31 by Silvio Franz, Stefano Spigler · 2 citations
Environmental Science · Materials Science · Mathematics · Physics and Astronomy · #Classical mechanics #Condensed matter physics #Distribution (mathematics) #Ecosystem dynamics and resilience #Geometry #Jamming #Material Dynamics and Properties #Mathematical analysis #Mathematics #Maxima and minima #Mean field theory #Physics #Power law #Quantum mechanics #Replica #SPHERES #Statistical physics #Statistics #Symmetry (geometry) #Symmetry breaking #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.95.022139
published as Phys. Rev. E 95, 022139 (2017) · 23 pages, 9 figures
arxiv created 2017/02/06 · openalex publication_date 2017/02/28 · arxiv updated 2017/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Disordered systems are characterized by the existence of many sample-dependent local-energy minima that cause a step-wise response when the system is perturbed. In this article we use an approach based on elementary probabilistic methods to compute the complete probability distribution of the jumps (static avalanches) in the response of mean-field systems described by replica symmetry breaking; we find a precise condition for having a power-law behavior in the distribution of avalanches caused by small perturbations, and we show that our predictions are in remarkable agreement both with previous results and with what is found in simulations of three-dimensional systems of soft spheres, either at jamming or at slightly higher densities.