The fluctuation-dissipation theorem and the linear Glauber model

Details The fluctuation-dissipation theorem and the linear Glauber model The fluctuation-dissipation theorem and the linear Glauber model

2006-02-13

arxiv.org/abs/cond-mat/0602318v2

Phys. Rev. E 73, 056117 (2006)

Physics

Condensed Matter

Statistical Mechanics

Accepted for publication (Physical Review E)

Scientific paper

10.1103/PhysRevE.73.056117

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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