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 $t/\tau(t_w)$, where $t_w$ is the waiting time and $\tau$ is equal to $t_w$ for waiting times smaller than the equilibration time $\tau_{\rm eq}$. The spatial correlations scale with $r/\xi(t_w)$, where the correlation length $\xi$ gives information about the averaged domain size in the system. Our results are better compatible with an algebraic growth law for $\xi(t_w)$, although it can also nicely be fitted to $(\log t_w)^{1/\psi}$ with $\psi\approx0.63$.