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Finite-Size Effects in Aging can be Interpreted as Sub-Aging

2025/01/08 by Henrik Christiansen, Christiansen, Henrik, Suman Majumder +5 · 1 citation
Biochemistry, Genetics and Molecular Biology · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Genetics, Aging, and Longevity in Model Organisms #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2501.04843

openalex publication_date 2025/01/08 · openalex created_date 2025/01/10 · openalex updated_date 2026/07/28

Abstract

Systems brought out of equilibrium through a rapid quench from a disordered initial state into an ordered phase undergo physical aging in the form of phase-ordering kinetics, with characteristic dynamical scaling. In many systems, notably glasses, dynamical scaling is often described through sub-aging, where a phenomenological sub-aging exponent 0<μ< 1 is empirically chosen to achieve the best possible data collapse. Here it is shown that finite-size effects modify the dynamical scaling behavior, away from simple aging with μ=1 towards μ<1, such that phenomenologically it would appear as sub-aging. This is exemplified for the exactly solved dynamical spherical model in dimensions 2

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