Exact Solution for the Critical State in Thin Superconductor Strips with Field Dependent or Anisotropic Pinning

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 j_c(B) depends on the local induction B according to a simple three-parameter model. This model describes both isotropic superconductors with this j_c(B) dependence, but also superconductors with anisotropic pinning described by a dependence j_c(theta) where theta is the tilt angle of the flux lines away from the normal to the specimen plane.

References in corpus (3)

• Irreversible Magnetization of Pin-Free Type II Superconductors
• Critical State in Thin Anisotropic Superconductors of Arbitrary Shape
• Analytic Solution for the Critical State in Superconducting Elliptic Films

Cited by in corpus (5)

• Critical State in Thin Anisotropic Superconductors of Arbitrary Shape
• "Unusual" critical states in type-II superconductors
• A generalized phenomenological model for the magnetic field penetration and magnetization hysteresis loops of a type-II superconductor
• Multifractal scaling of flux penetration in the Iron-based Superconductor Ba(Fe${}_{0.93}$Co${}_{0.07}$)${}_2$As${}_2$
• Symmetry of the remanent state flux distribution in superconducting thin strips: Probing the critical state