Artículo
Magnetic vortex filament flows
Autor/es | Barros Díaz, Manuel
Cabrerizo Jaraíz, José Luis Fernández Andrés, Manuel Romero Sarabia, Alfonso |
Departamento | Universidad de Sevilla. Departamento de Geometría y Topología |
Fecha de publicación | 2007-08 |
Fecha de depósito | 2016-10-07 |
Publicado en |
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Resumen | 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 ... 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. |
Identificador del proyecto | MTM 2004-04934
P06-FQM-01951 |
Cita | 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. |
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