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dc.creatorBarros Díaz, Manueles
dc.creatorCabrerizo Jaraíz, José Luises
dc.creatorFernández Andrés, Manueles
dc.creatorRomero Sarabia, Alfonsoes
dc.date.accessioned2016-10-07T07:10:02Z
dc.date.available2016-10-07T07:10:02Z
dc.date.issued2007-08
dc.identifier.citationBarros Díaz, M., Cabrerizo Jaraíz, J.L. y Fernández Andrés, M. (2007). Magnetic vortex filament flows. Journal of Mathematical Physics, 48 (8), 082904-1-082904-27.
dc.identifier.issn0022-2488es
dc.identifier.issn1089-7658es
dc.identifier.urihttp://hdl.handle.net/11441/47146
dc.description.abstractWe exhibit a variational approach to study the magnetic flow associated with a Killing magnetic field in dimension 3. In this context, the solutions of the Lorentz force equation are viewed as Kirchhoff elastic rods and conversely. This provides an amazing connection between two apparently unrelated physical models and, in particular, it ties the classical elastic theory with the Hall effect. Then, these magnetic flows can be regarded as vortex filament flows within the localized induction approximation. The Hasimoto transformation can be used to see the magnetic trajectories as solutions of the cubic nonlinear Schrödinger equation showing the solitonic nature of those.es
dc.description.sponsorshipMinisterio de Educación y Cienciaes
dc.description.sponsorshipFondo Europeo de Desarrollo Regionales
dc.description.sponsorshipJunta de Andalucíaes
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherAIP Publishinges
dc.relation.ispartofJournal of Mathematical Physics, 48 (8), 082904-1-082904-27.es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleMagnetic vortex filament flowses
dc.typeinfo:eu-repo/semantics/articlees
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Geometría y Topologíaes
dc.relation.projectIDMTM 2004-04934es
dc.relation.projectIDP06-FQM-01951es
dc.relation.publisherversionhttp://dx.doi.org/10.1063/1.2767535es
dc.identifier.doi10.1063/1.2767535es
dc.contributor.groupUniversidad de Sevilla. FQM327: Geometria (Semi) Riemanniana y Aplicacioneses
idus.format.extent27 p.es
dc.journaltitleJournal of Mathematical Physicses
dc.publication.volumen48es
dc.publication.issue8es
dc.publication.initialPage082904-1es
dc.publication.endPage082904-27es
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/47146

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