Abstract

This chapter explores the off-equilibrium dynamics in the pre-asymptotic aging regime of the two, three and four-dimensional Edwards-Anderson spin glass model. The dynamics are defined as an exotic correlation function and the corresponding response, and the resulting fluctuation dissipation ratio (FDR) is compared with the usual one obtained by the ordinary spin–spin correlation function and relative response. In all systems, it is found that after a short transient the two corresponding fluctuation–dissipation ratios coincide at equal times. Findings support the idea that the FDR defines a unique set of effective temperatures for degrees of freedom evolving on the same time scale. In addition, the chapterexplains that in 2D, as it happens for the usual FDR, the new dynamic FDR at finite time can be related to the static overlap probability function (OPF) of systems of suitable finite size.

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