Exact solution to a nearly parallel vortex filament mean-field theory

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dc.creatorAndersen, Timothy D.
dc.date2008-12-08
dc.date2008-12-09
dc.date.accessioned2026-07-07T12:10:16Z
dc.date.available2026-07-07T12:10:16Z
dc.descriptionNearly parallel vortex filaments are a generalization of point vortices and describe many phenomena under conservation of angular momentum including vortices forming in deep ocean convection, magnetically confined plasmas, and the solar atmosphere. While point vortices represent perfectly straight, parallel lines of circulation, nearly parallel vortex filaments have some curvature due to internal viscosity. They interact logarithmically but have a kinetic self-energy as well. In this letter, I present an exact solution of a system of these filaments under angular momentum conservation in a mean-field theory. I show that the filaments have an infinite order phase transition not present in the point vortex model.
dc.description4 pages, no figures
dc.identifierhttps://arxiv.org/abs/0812.1508
dc.identifierhttp://arxiv.org/abs/0812.1508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209884
dc.subjectStatistical Mechanics
dc.titleExact solution to a nearly parallel vortex filament mean-field theory
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