Vortices in a cylinder: Localization after depinning

dc.creatorSilvestrov, P. G.
dc.date1998-04-08
dc.date.accessioned2026-07-07T07:48:40Z
dc.date.available2026-07-07T07:48:40Z
dc.descriptionEdge effects in the depinned phase of flux lines in hollow superconducting cylinder with columnar defects and electric current along the cylinder are investigated. Far from the ends of the cylinder vortices are distributed almost uniformly (delocalized). Nevertheless, near the edges these free vortices come closer together and form well resolved dense bunches. A semiclassical picture of this localization after depinning is described. For a large number of vortices their density $ρ(x)$ has square root singularity at the border of the bunch ($ρ(x)$ is semicircle in the simplest case). However, by tuning the strength of current, the various singular regimes for $ρ(x)$ may be reached. Remarkably, this singular behaviour reproduces the phase transitions discussed during the past decade within the random matrix regularization of 2d-Gravity.
dc.description4 pages, REVTEX, 2 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9804093
dc.identifierhttp://arxiv.org/abs/cond-mat/9804093
dc.identifierPhys.Rev.Lett. 82 (1999) 3140-3143
dc.identifierdoi:10.1103/PhysRevLett.82.3140
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124577
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Theory
dc.titleVortices in a cylinder: Localization after depinning
dc.typetext

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