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

Source: [Finite-Size Effects in Aging can be Interpreted as Sub-Aging](<https://www.sota2.com/research/paper/68fa48f31e209131ce933893>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T07:06:33.181Z

Authors: Henrik Christiansen, Suman Majumder, Wolfhard Janke, Malte Henkel

Published: 2025-01-08T21:11:02.000Z

## 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 $0\<\\mu\< 1$ 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 $\\mu=1$ towards $\\mu\<1$, such that phenomenologically it would appear as sub-aging. This is exemplified for the exactly solved dynamical spherical model in dimensions $2\<d\<4$ and numerical simulations of the two-dimensional Ising model, with short-ranged and long-ranged interactions.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2501.04843>)

[PDF](<https://arxiv.org/pdf/2501.04843.pdf>)