Fluctuation-dissipation relations and effective temperatures in simple non-mean field systems

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dc.creatorSollich, P
dc.creatorFielding, S
dc.creatorMayer, P
dc.date2001-11-13
dc.date.accessioned2026-07-07T02:43:30Z
dc.date.available2026-07-07T02:43:30Z
dc.descriptionWe give a brief review of violations of the fluctuation-dissipation theorem (FDT) in out-of-equilibrium systems; in mean field scenarios the corresponding fluctuation-dissipation (FD) plots can, in the limit of long times, be used to define a {\em effective temperature} $\teff$ that shares many properties of the true thermodynamic temperature $T$. We discuss carefully how correlation and response functions need to be represented to obtain meaningful limiting FD plots in {\em non-mean field} systems. A minimum requirement on the resulting effective temperatures is that they should be independent of the observable whose correlator and response are being considered; we show for two simple models with glassy dynamics (Bouchaud's trap model and the Glauber-Ising chain at zero temperature) that this is generically not the case. Consequences for the wider applicability of effective temperatures derived from FD relations are discussed; one intriguing possibility is that at least the limit of the FDT violation factor for well separated times may generically be observable-independent and so could yield a meaningful $\teff$.
dc.description16 pages, IOP style (style files included); to appear in special issue of Journal of Physics: Condensed Matter
dc.identifierhttps://arxiv.org/abs/cond-mat/0111241
dc.identifierhttp://arxiv.org/abs/cond-mat/0111241
dc.identifierJournal of Physics: Condensed Matter, 14:1683-1696, 2002
dc.identifierdoi:10.1088/0953-8984/14/7/324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18523
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectSoft Condensed Matter
dc.titleFluctuation-dissipation relations and effective temperatures in simple non-mean field systems
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