# Aging in the long-range Ising model

Source: [Aging in the long-range Ising model](<https://www.sota2.com/research/paper/68fa3d271e209131ce8dfebf>)

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

Data updated: 2025-10-25T01:28:58.201Z

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

Published: 2019-06-27T17:48:29.000Z

## Abstract

The current understanding of aging phenomena is mainly confined to the study of systems with short-ranged interactions. Little is known about the aging of long-ranged systems. Here, the aging in the phase-ordering kinetics of the two-dimensional Ising model with power-law long-range interactions is studied via Monte Carlo simulations. The dynamical scaling of the two-time spin-spin autocorrelator is well described by simple aging for all interaction ranges studied. The autocorrelation exponents are consistent with $\\lambda=1.25$ in the effectively short-range regime, while for stronger long-range interactions the data are consistent with $\\lambda=d/2=1$. For very long-ranged interactions, strong finite-size effects are observed. We discuss whether such finite-size effects could be misinterpreted phenomenologically as sub-aging.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1906.11815>)

[PDF](<https://arxiv.org/pdf/1906.11815.pdf>)