Modelling the Flux-Line Cutting in the Magnetization of a Weak-Pinning Type-II Superconductor

The elliptic flux-line cutting critical-state model is employed to describe the magneto dynamics of a type-II superconductor subjected to a rotating magnetic field whose magnitude is of the same order of the lower critical field of the material. The effect of the Meissner currents, bulk pinning and flux-line cutting on the magnetic response of a weak-pinning premagnetized superconductor is investigated. We simulate the magnetization of a superconducting slab under a slowly rotating field, employing the method of lines and a second-order accurate spatial discretization based on a fixed set of nodes. For this system the numerical method is fast and accurate. We achieve a good agreement between our simulations and experimental data.