Ginzburg-Landau equations with consistent Langevin terms for nonuniform wires

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dc.creatorBerger, Jorge
dc.date2006-05-03
dc.date2007-04-04
dc.date.accessioned2026-07-07T08:05:31Z
dc.date.available2026-07-07T08:05:31Z
dc.descriptionMany analyses based on the time-dependent Ginzburg--Landau model are not consistent with statistical mechanics, because thermal fluctuations are not taken correctly into account. We use the fluctuation-dissipation theorem in order to establish the appropriate size of the Langevin terms, and thus ensure the required consistency. Fluctuations of the electromagnetic potential are essential, even when we evaluate quantities that do not depend directly on it. Our method can be cast in gauge-invariant form. We perform numerous tests, and all the results are in agreement with statistical mechanics. We apply our method to evaluate paraconductivity of a superconducting wire. The Aslamazov--Larkin result is recovered as a limiting situation. Our method is numerically stable and the nonlinear term is easily included. We attempt a comparison between our numerical results and the available experimental data. Within an appropriate range of currents, phase slips occur, but we found no evidence for thermally activated phase slips. We studied the behavior of a moderate constriction. A constriction pins and enhances the occurrence of phase slips.
dc.descriptioncontains new sections that deal with phase slips
dc.identifierhttps://arxiv.org/abs/cond-mat/0605087
dc.identifierhttp://arxiv.org/abs/cond-mat/0605087
dc.identifierPhys. Rev. B 75, 184522 (2007)
dc.identifierdoi:10.1103/PhysRevB.75.184522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130305
dc.subjectStatistical Mechanics
dc.subjectSuperconductivity
dc.titleGinzburg-Landau equations with consistent Langevin terms for nonuniform wires
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