Energy dissipation of moved magnetic vortices

Energy of Magnetic Vortices in Rotating Superconductor

Abstract. We carry out a systematic analytic investigation of stationary and cylindrically symmetric vortex configurations for simple models representing an incompressible non-relativistic superconductor in a background, which is rigidly rotating with the angular velocity Ω∞. It is shown that although the magnetic and kinetic contributions to the energy per unit length of such a vortex are sepa...

The effect of magnetic field on 2-D problem of generalized thermoelasticity with energy dissipation

Visualization of energy transfer to magnetic energy by rolling-up vortices with uniform background magnetic field

For the purpose of clarifying mechanism of local structure formations in magnetohydrodynamic (MHD) turbulence, energy transfers among various scales and positions of magnetic/kinetic energies in the course of rollup processes of vortices are studied by direct numerical simulations (DNS) and orthonormal wavelet analysis. In the previous study information on scales provided by the wavelet analysi...

the effect of magnetic field on 2-d problem of generalized thermoelasticity with energy dissipation

The Stability of Magnetic Vortices

W e study the linearized stability of -vortex ( ) solutions of the magnetic Ginzb urg–Landau (or Abelian Higgs) equations. We prove that the fundamental vortices ( 1) are stable for all values of the coupling constant, , and we prove that the higher -degree vortices ( 2) are stable for 1, and unstable for 1. This resolves a long-standing conjecture (see, eg, [JT]).