2004/01/31 by Claudio Chamon, C. Chamon, Patrick Charbonneau +7
Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Condensed matter physics #Extreme value theory #Material Dynamics and Properties #Mathematics #Mesoscopic physics #Physics #Scaling #Scaling law #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.1809585
published as J. Chem. Phys. 121, 10120 (2004) · 20 pages, RevTex, 9 figures
arxiv created 2004/09/01 · openalex publication_date 2004/11/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we extend the earlier treatment of out-of-equilibrium mesoscopic fluctuations in glassy systems in several significant ways. First, via extensive simulations, we demonstrate that models of glassy behavior without quenched disorder display scalings of the probability of local two-time correlators that are qualitatively similar to that of models with short-ranged quenched interactions. The key ingredient for such scaling properties is shown to be the development of a criticallike dynamical correlation length, and not other microscopic details. This robust data collapse may be described in terms of a time-evolving "extreme value" distribution. We develop a theory to describe both the form and evolution of these distributions based on a effective sigma model approach.