There are Asymmetric Minimizers for the One-Dimensional Ginzburg-Landau Model of Superconductivity

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dc.creatorHastings, S. P.
dc.creatorTroy, W. C.
dc.date1999-03-16
dc.date.accessioned2026-07-07T03:13:02Z
dc.date.available2026-07-07T03:13:02Z
dc.descriptionWe study a boundary value problem associated with a system of two second order differential equations with cubic nonlinearity which model a film of superconductor material subjected to a tangential magnetic field. We show that for an appropriate range of parameters there are {\it asymmetric} solutions, and only trivial {\it symmetric} solutions. We then show that the associated energy function is negative for the asymmetric solutions, and zero for the trivial symmetric solution. It follows that a global minimizer of the energy is asymmetric.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/9903253
dc.identifierhttp://arxiv.org/abs/cond-mat/9903253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29145
dc.subjectSuperconductivity
dc.subjectAnalysis of PDEs
dc.titleThere are Asymmetric Minimizers for the One-Dimensional Ginzburg-Landau Model of Superconductivity
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