Abstract
A model of weakly pinned flux lines is described, permitting the calculation of the maximum current transverse field characteristic of a superconducting wire in the range of low fields. Studying the penetration of the first flux lines, the initial shape of the maximum current curve is found to be linear, up to a field which depends on the strength of pinning. Beyond this field the calculation of the maximum current requires a determination and investigation of the field distribution inside and outside the wire. This leads, the vortex state being only partially achieved, to a Hilbert problem involving a free boundary.
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Grensing, D. Maximum current of a superconducting wire in a transverse magnetic field in the case of weak pinning. J Low Temp Phys 7, 433–448 (1972). https://doi.org/10.1007/BF00628255
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DOI: https://doi.org/10.1007/BF00628255