Superaging in two-dimensional random ferromagnets

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Mar;75(3 Pt 1):030104. doi: 10.1103/PhysRevE.75.030104. Epub 2007 Mar 30.

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 Cst} decays algebraically. The aging part shows anomalous scaling C{ag}(t,t{w})=C[h(t)h(t{w})], where h(u) is a nonhomogeneous function excluding a t/t{w} scaling.