Note on the Flux Distribution in a Wire of Nonideal Type II Superconductor under a Longitudinal Magnetic Field and a Transport Current

Abstract

When a transport current is applied to a wire of nonideal type II superconductor in the presence of a longitudinal magnetic field, it is shown that any reasonable solution of the critical-state model cannot be found on the quasi-static flux-distribution so far as the flux motion is assumed to occur only in the radial direction. In addition, the experimental results given by Timms and LeBlanc on the magnetization of a slab in a similar configuration are discussed by the critical-state model, and it is also shown that the observed tendencies can be explained only if the flux motion is assumed to be not one-dimensional but three-dimensional. These suggest that the quasi-static flux-distribution in the wire of this configuration might not hold the translational and rotational invariances along and around the wire axis.