Domain growth and aging scaling in coarsening disordered systems

TL;DR

This paper investigates aging and domain growth in disordered systems using Monte Carlo simulations, revealing simple aging scaling behavior and insights into superuniversality in two disordered magnetic models.

Contribution

It demonstrates that both the random-bond Ising model and Edwards-Anderson spin glass exhibit simple aging scaling with the ratio L(t)/L(s), advancing understanding of aging in disordered systems.

Findings

Aging scaling follows the ratio L(t)/L(s) in both models.

Space-time correlations support simple aging behavior.

Results provide insights into superuniversality in disordered systems.

Abstract

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass with a bimodal distribution of the coupling constants. We study the two-times autocorrelation and space-time correlation functions and show that in both systems a simple aging scenario prevails in terms of the scaling variable $L(t)/L(s)$, where $L$ is the time-dependent correlation length, whereas $s$ is the waiting time and $t$ is the observation time. The investigation of the space-time correlation function for the random-bond Ising model allows us to address some issues related to superuniversality.