01-136 Helffer B., Pan X.-B.

UPPER CRITICAL FIELD AND LOCATION OF SURFACE NUCLEATION OF SUPERCONDUCTIVITY (569K, ps) Apr 6, 01

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Abstract. In this paper we improve the estimate obtained by Lu-Pan on the value of the upper critical field $H_{C_3}(\kappa)$ for a cylindrical superconductor with cross section $\Omega$ being an arbitrary $2$-dimensional smooth bounded domain. We also show that, when a homogeneous magnetic field is applied along the axis of the cylinder with magnitude of the field close to $H_{C_3}$, superconductivity nucleates first at the surface of the sample where the curvature of the boundary is maximal.

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