Fluctuation-dissipation ratio of a spin glass in the aging regime

Abstract

We present the first experimental determination of the time autocorrelation $C(t^{\prime },t)$ of magnetization in the non-stationary regime of a spin glass. Quantitative comparison with the response, the magnetic susceptibility $\chi (t^{\prime },t)$, is made using a new experimental setup allowing both measurements in the same conditions. Clearly, we observe a non-linear fluctuation-dissipation relation between $C$ and $\chi$, depending weakly on the waiting time $t^{\prime }$. Following theoretical developments on mean-field models, and lately on short range models, it is predicted that in the limit of long times, the $\chi (C)$ relationship should become independent on $t^{\prime }$. A scaling procedure allows us to extrapolate to the limit of long waiting times.

4 pages, 3 figures

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