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Super-Aging in two-dimensional random ferromagnets

Raja Paul·Gregory Schehr·Heiko Rieger
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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 $C_{st}$ decays algebraically. The aging part shows anomalous scaling $C_{ag}(t,t_w)={\cal C}(h(t)/h(t_w))$, where $h(u)$ is a non-homogeneous function excluding a $t/t_w$ scaling.

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Raja Paul, Gregory Schehr, Heiko Rieger. 2006-11-09. Super-Aging in two-dimensional random ferromagnets. https://doi.org/10.1103/physreve.75.030104

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