Reply to Comment on "Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models"

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dc.creatorMayer, Peter
dc.creatorBerthier, Ludovic
dc.creatorGarrahan, Juan P.
dc.creatorSollich, Peter
dc.date2003-10-23
dc.date.accessioned2026-07-07T02:54:22Z
dc.date.available2026-07-07T02:54:22Z
dc.descriptionWe have recently shown that in non-equilibrium spin systems at criticality the limit $\Xin$ of the fluctuation-dissipation ratio X(t,tw) for t >> tw >> 1 can be measured using observables such as magnetization or energy [Phys. Rev.\ E {\bf 68}, 016116 (2003)]. Pleimling argues in a Comment [cond-mat/0309652] on our paper that for such observables correlation and response functions are dominated by one-time quantities dependent only on t, and are therefore not suitable for a determination of $\Xin$. Using standard scaling forms of correlation and response functions, as used by Pleimling, we show that our data do have a genuine two-time dependence and allow X(t,tw) and $\Xin$ to be measured, so that Pleimling's criticisms are easily refuted. We also compare with predictions from renormalization-group calculations, which are consistent with our numerical observation of a fluctuation-dissipation plot for the magnetization that is very close to a straight line. A key point remains that coherent observables make measurements of $\Xin$ easier than the traditionally used incoherent ones, producing fluctuation-dissipation plots whose slope is close to $\Xin$ over a much larger range.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0310545
dc.identifierhttp://arxiv.org/abs/cond-mat/0310545
dc.identifierPhys. Rev. E 70, 018102 (2004)
dc.identifierdoi:10.1103/PhysRevE.70.018102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22517
dc.subjectStatistical Mechanics
dc.titleReply to Comment on "Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models"
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