The fluctuation-dissipation theorem and the linear Glauber model

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 $d\ge 2$, 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.

Accepted for publication (Physical Review E)

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Cited by in corpus (6)

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• Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature
• Optimal linear Glauber model
• Aging and stationary properties of non-equilibrium symmetrical three-state models
• Dynamic critical properties of non-equilibrium Potts models with absorbing states
• Schrödinger-invariance in the voter model