Gp. Mikitik et Eh. Brandt, Exact solution for the critical state in thin superconductor strips with field-dependent or anisotropic pinning, PHYS REV B, 62(10), 2000, pp. 6812-6819
An exact analytical solution is given for the critical state problem in lon
g thin type-Il superconductor strips in a perpendicular magnetic field for
the case when the critical current density j(c)(B) depends on the local ind
uction B according to a simple three-parameter model. This model describes
both isotropic superconductors with this j(c)(B) dependence, but also super
conductors with anisotropic pinning with a dependence j(c)(theta) where the
ta is the tilt angle of the flux lines away from the normal to the specimen
plane.