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Critical temperature profile determination using a modified London equation for inhomogeneous superconductors

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Abstract

A modified form of London's equation describing the penetration of magnetic flux into an inhomogeneous superconductor is derived from the Ginzburg-Landau theory. This equation takes into account spatial variation of the magnetic penetration depth. The magnetic flux penetration into an inhomogeneous superconducting slab is calculated and a method is described whereby the spatial variation of the critical temperature can be obtained from an inductiveT ctransition. The consequences of using other sample geometries and the relevance of this work to the characterization of practical superconducting wires is discussed.

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Cave, J.R., Evetts, J.E. Critical temperature profile determination using a modified London equation for inhomogeneous superconductors. J Low Temp Phys 63, 35–55 (1986). https://doi.org/10.1007/BF00682063

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