Aging and domain growth in the two--dimensional Ising spin glass model

Abstract

Interrupted aging in the two-dimensional Ising spin glass model with Gaussian couplings is established and investigated via extensive Monte-Carlo simulations. The spin autocorrelation function scales with $t/τ(t_w)$, where $t_w$ is the waiting time and $τ$ is equal to $t_w$ for waiting times smaller than the equilibration time $τ_{\rm eq}$. The spatial correlations scale with $r/ξ(t_w)$, where the correlation length $ξ$ gives information about the averaged domain size in the system. Our results are better compatible with an algebraic growth law for $ξ(t_w)$, although it can also nicely be fitted to $(\log t_w)^{1/ψ}$ with $ψ\approx0.63$.