Surface nucleation of superconductivity in 3-dimensions
type: Item
instance of: scholarly article
title: Surface nucleation of superconductivity in 3-dimensions
zbMATH Open document ID: 0972.35152
author: Kening Lu
author: Xingbin Pan
published in: Journal of Differential Equations
publication date: 2001-11-13T00:00:00Z
review text: The authors study the surface nucleation of superconductivity and estimate the value of the upper critical field \(H_{C_3}\) for superconductors occupying an arbitrary smooth domain in \(\mathbb{R}^3\). It is proved that \(H_{C_3}\simeq K/\beta_0\), the ratio of the Ginzburg-Landau parameter \(K\) and the first eigenvalue \(\beta_0\) for the Schrödinger operator with unit magnetic field on the half plane. When the applied magnetic field is spatially homogeneous and close to \(H_{C_3}\), a superconducting layer nucleates on a portion of the surface at which the applied field is tangential to the surface. Nucleation under nonhomogeneous applied fields is also discussed.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 82D55
zbMATH DE Number: 1563165
zbMATH Keywords: Ginzburg-Landau system
zbMATH Keywords: superconductivity
zbMATH Keywords: nucleation
zbMATH Keywords: critical field
reviewed by: Yves Cherruault
MaRDI profile type: Publication
OpenAlex ID: W2020875206
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DOI: 10.1006/JDEQ.2000.3892
description: scientific article; zbMATH DE number 1563165