Competition between dynamic and thermal relaxation in non-equilibrium spin systems above the critical point

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dc.creatorPicone, Alan
dc.creatorHenkel, Malte
dc.creatorRichert, Jean
dc.date2002-10-15
dc.date2003-01-10
dc.date.accessioned2026-07-07T10:48:07Z
dc.date.available2026-07-07T10:48:07Z
dc.descriptionWe study the long-time behaviour and the spatial correlations of a simple ferromagnetic spin system whose kinetics is governed by a thermal bath with a time-dependent temperature which is characterized by a given external relaxation time tau. Exact results are obtained in the framework of the spherical model in d dimensions. In the paramagnetic phase, the long-time kinetics is shown to depend crucially on the ratio between tau and the internal equilibration time tau_eq. If tau is less than tau_eq, the model relaxes rapidly towards an equilibrium state but there appear transient and spatially oscillating contributions in the spin-spin correlation function. On the other hand, if tau is much greater than tau_eq the system is clamped and its time evolution is delayed with respect to the one of the heat bath. For waiting times s such that tau << s << tau_eq, a quasi-stationary state is found where the fluctuation-dissipation theorem does not hold.
dc.descriptionLatex2e, 18 pp, 2 figures (final form)
dc.identifierhttps://arxiv.org/abs/cond-mat/0210330
dc.identifierhttp://arxiv.org/abs/cond-mat/0210330
dc.identifierJ.Phys.A36:1249-1288,2003
dc.identifierdoi:10.1088/0305-4470/36/5/305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183766
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.titleCompetition between dynamic and thermal relaxation in non-equilibrium spin systems above the critical point
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