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The fluctuation-dissipation theorem and the linear Glauber model

M. O. Hase·S. R. Salinas·T. Tomé·M. J. de Oliveira
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Abstract

We obtain exact expressions for the two-time autocorrelation and response functions of the $d$-dimensional linear Glauber model. Although this linear model does not obey detailed balance in dimensions $d\geq 2$, we show that the usual form of the fluctuation-dissipation ratio still holds in the stationary regime. In the transient regime, we show the occurence of aging, with a special limit of the fluctuation-dissipation ratio, $X_{\infty}=1/2$, for a quench at the critical point.

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M. O. Hase, S. R. Salinas, T. Tomé, M. J. de Oliveira. 2006-04-20. The fluctuation-dissipation theorem and the linear Glauber model. https://doi.org/10.1103/physreve.73.056117

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