Exact Solution for the Critical State in Thin Superconductor Strips with Field Dependent or Anisotropic Pinning
Grigorii P. Mikitik, Ernst Helmut Brandt
Abstract
An exact analytical solution is given for the critical state problem in long thin superconductor strips in a perpendicular magnetic field, when the critical current density jc(B) depends on the local induction B according to a simple three-parameter model. This model describes both isotropic superconductors with this jc(B) dependence, but also superconductors with anisotropic pinning described by a dependence jc(theta) where theta is the tilt angle of the flux lines away from the normal to the specimen plane.
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