Super-Aging in two-dimensional random ferromagnets

TL;DR

This paper investigates the aging dynamics of two-dimensional randomly diluted Ising ferromagnets below the critical temperature using Monte Carlo simulations, revealing additive aging and anomalous scaling behaviors.

Contribution

It demonstrates that the autocorrelation function exhibits additive aging with a stationary algebraic decay and an anomalous scaling form, which differs from traditional $t/t_w$ scaling.

Findings

Autocorrelation function shows additive aging behavior.

Stationary part decays algebraically.

Aging part exhibits anomalous scaling with a non-homogeneous function.

Abstract

We study the aging properties, in particular the two-time autocorrelations, of the two-dimensional randomly diluted Ising ferromagnet below the critical temperature via Monte-Carlo simulations. We find that the autocorrelation function displays additive aging $C(t,t_w)=C_{st}(t)+C_{ag}(t,t_w)$, where the stationary part $C_{st}$ decays algebraically. The aging part shows anomalous scaling $C_{ag}(t,t_w)={\cal C}(h(t)/h(t_w))$, where $h(u)$ is a non-homogeneous function excluding a $t/t_w$ scaling.