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      Magnetic vortex filament flows  [Article]

      Barros Díaz, Manuel; Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Romero Sarabia, Alfonso (AIP Publishing, 2007-08)
      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 ...
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      The Gauss-Landau-Hall problem on Riemannian surfaces  [Article]

      Barros Díaz, Manuel; Cabrerizo Jaraíz, José Luis; Fernández Andrés, Manuel; Romero Sarabia, Alfonso (AIP Publishing, 2005)
      We introduce the notion of Gauss-Landau-Hall magnetic field on a Riemannian surface. The corresponding Landau-Hall problem is shown to be equivalent to the dynamics of a massive boson. This allows one to view that problem ...