Numerical simulations of filamentary type II superconducting wires under simultaneous AC transport current and oscillating transverse magnetic fields are performed within the critical state approximation. The time dependences of the current density p
rofiles, magnetic flux lines, local power dissipation and magnetic moment are featured. Noticeable non-homogeneous dissipation and field distortions are displayed. Also, significant differences between the obtained AC-losses and those predicted by regular approximation formulas are reported. Finally, an outstanding low pass filtering effect intrinsic to the magnetic response of the system is described.
We show that, based on the critical state model for flux-line pinning in hard superconductors, one can assess the magnetic moment relaxation induced by the oscillations of a perpendicular magnetic field. Our theory follows a recent proposal of using
phenomenological 2D modeling for the description of crossed field dynamics in high-T$_c$ superconductors [{tt arXiv:cond-mat/0703330}]. Stationary regimes with either saturation to metastable configurations, or complete decay to the thermodynamic equilibrium are obtained. The transition between both types of response is related to the disappearance of a flux free core within the sample. As a common feature, a step-like dependence in the time relaxation is predicted for both cases. The theory may be applied to long bars of arbitrary and non homogeneous cross section, under in-plane magnetic field processes.
