Flux penetration in thin superconductor films with field dependent critical current density

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Abstract

The problem of flux penetration in superconductor samples in the form of thin elliptic cylinders and circular discs is considered. When critical current density depends on the local field, the latter satisfies a non-linear integral equation. We obtain a numerical solution for the integral equation and thereby detemine the local field distribution. We present results for the virgin magnetisation and the hysteresis curves for typical parameter values for the exponential model as well as the Kim's model for the critical current density.

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