Super-Aging in two-dimensional random ferromagnets

preprint2006arXivOpen access

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,tw)=Cst(t)+Cag(t,tw)C(t,t_w)=C_{st}(t)+C_{ag}(t,t_w), where the stationary part CstC_{st} decays algebraically. The aging part shows anomalous scaling Cag(t,tw)=C(h(t)/h(tw))C_{ag}(t,t_w)={\cal C}(h(t)/h(t_w)), where h(u)h(u) is a non-homogeneous function excluding a t/twt/t_w scaling.

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