Non-equilibrium temperatures in steady-state systems with conserved energy

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dc.creatorBertin, Eric
dc.creatorDauchot, Olivier
dc.creatorDroz, Michel
dc.date2004-12-03
dc.date.accessioned2026-07-07T03:02:28Z
dc.date.available2026-07-07T03:02:28Z
dc.descriptionWe study a class of non-equilibrium lattice models describing local redistributions of a globally conserved quantity, which is interpreted as an energy. A particular subclass can be solved exactly, allowing to define a statistical temperature T_{th} along the same lines as in the equilibrium microcanonical ensemble. We compute the response function and find that when the fluctuation-dissipation relation is linear, the slope T_{FD}^{-1} of this relation differs from the inverse temperature T_{th}^{-1}. We argue that T_{th} is physically more relevant than T_{FD}, since in the steady-state regime, it takes equal values in two subsystems of a large isolated system. Finally, a numerical renormalization group procedure suggests that all models within the class behave similarly at a coarse-grained level, leading to a new parameter which describes the deviation from equilibrium. Quantitative predictions concerning this parameter are obtained within a mean-field framework.
dc.description16 pages, 2 figures, submitted to Phys. Rev. E
dc.identifierhttps://arxiv.org/abs/cond-mat/0412071
dc.identifierhttp://arxiv.org/abs/cond-mat/0412071
dc.identifierPhys. Rev. E 71, 046140 (2005)
dc.identifierdoi:10.1103/PhysRevE.71.046140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25405
dc.subjectStatistical Mechanics
dc.titleNon-equilibrium temperatures in steady-state systems with conserved energy
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