Please use this identifier to cite or link to this item: https://doi.org/10.1006/jdeq.2000.3892
Title: Surface Nucleation of Superconductivity in 3-Dimensions
Authors: Lu, K.
Pan, X.-B. 
Keywords: Ginzburg-Landau system; superconductivity; nucleation; critical field
Issue Date: 10-Dec-2000
Citation: Lu, K., Pan, X.-B. (2000-12-10). Surface Nucleation of Superconductivity in 3-Dimensions. Journal of Differential Equations 168 (2) : 386-452. ScholarBank@NUS Repository. https://doi.org/10.1006/jdeq.2000.3892
Abstract: In this paper we study the surface nucleation of superconductivity and estimate the value of the upper critical field HC3 for superconductors occupying arbitrary bounded smooth domains in R3. We show that HC3≃κ/β0, the ratio of the Ginzburg-Landau parameter κ and the first eigenvalue β0 of the Schrödinger operator with unit magnetic field on the half plane. When the applied magnetic field is spacially homogeneous and close to HC3, a superconducting layer nucleates on a portion of the surface at which the applied field is tangential to the surface. Nucleation under non-homogeneous applied fields is also discussed. © 2000 Academic Press.
Source Title: Journal of Differential Equations
URI: http://scholarbank.nus.edu.sg/handle/10635/104228
ISSN: 00220396
DOI: 10.1006/jdeq.2000.3892
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