dc.creator | Barros Díaz, Manuel | es |
dc.creator | Cabrerizo Jaraíz, José Luis | es |
dc.creator | Fernández Andrés, Manuel | es |
dc.creator | Romero Sarabia, Alfonso | es |
dc.date.accessioned | 2016-10-07T07:10:02Z | |
dc.date.available | 2016-10-07T07:10:02Z | |
dc.date.issued | 2007-08 | |
dc.identifier.citation | Barros 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.issn | 0022-2488 | es |
dc.identifier.issn | 1089-7658 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47146 | |
dc.description.abstract | We 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.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | AIP Publishing | es |
dc.relation.ispartof | Journal of Mathematical Physics, 48 (8), 082904-1-082904-27. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Magnetic vortex filament flows | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | MTM 2004-04934 | es |
dc.relation.projectID | P06-FQM-01951 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1063/1.2767535 | es |
dc.identifier.doi | 10.1063/1.2767535 | es |
dc.contributor.group | Universidad de Sevilla. FQM327: Geometria (Semi) Riemanniana y Aplicaciones | es |
idus.format.extent | 27 p. | es |
dc.journaltitle | Journal of Mathematical Physics | es |
dc.publication.volumen | 48 | es |
dc.publication.issue | 8 | es |
dc.publication.initialPage | 082904-1 | es |
dc.publication.endPage | 082904-27 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47146 | |