Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part I

Sylvia Serfaty

doi:10.1142/S0219199799000109

Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part I

Sylvia Serfaty

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We find local minimizers of the two-dimensional Ginzburg-Landau functional depending on a large parameter κ, which describe the behavior of a superconductor in a prescribed exterior magnetic field h_ex. We prove an estimate on the critical value H_c1 of h_ex(κ), corresponding to the first phase-transition in which vortices appear in the superconductor; and we locate these vortices.

Original language	English (US)
Pages (from-to)	213-254
Number of pages	42
Journal	Communications in Contemporary Mathematics
Volume	1
Issue number	2
DOIs	https://doi.org/10.1142/S0219199799000109
State	Published - May 1999

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1142/S0219199799000109

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title = "Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part I",

abstract = "We find local minimizers of the two-dimensional Ginzburg-Landau functional depending on a large parameter κ, which describe the behavior of a superconductor in a prescribed exterior magnetic field hex. We prove an estimate on the critical value Hc1 of hex(κ), corresponding to the first phase-transition in which vortices appear in the superconductor; and we locate these vortices.",

author = "Sylvia Serfaty",

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AB - We find local minimizers of the two-dimensional Ginzburg-Landau functional depending on a large parameter κ, which describe the behavior of a superconductor in a prescribed exterior magnetic field hex. We prove an estimate on the critical value Hc1 of hex(κ), corresponding to the first phase-transition in which vortices appear in the superconductor; and we locate these vortices.

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Local minimizers for the Ginzburg-Landau energy near critical magnetic field: Part I

Abstract

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