On the energy of type-II superconductors in the mixed phase

Etienne Sandier; Sylvia Serfaty

doi:10.1142/S0129055X00000411

On the energy of type-II superconductors in the mixed phase

Etienne Sandier, Sylvia Serfaty

Mathematics

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

Abstract

We study the Ginzburg-Landau energy of superconductors with high κ, put in a prescribed external field h_ex, for h_ex varying between the two critical fields H_c1 and H_c3. As κ → + ∞, we give the leading term in the asymptotic expansion of the minimal energy and show that energy minimizers have vortices whose density tends to be uniform and equal to h_ex.

Original language	English (US)
Pages (from-to)	1219-1257
Number of pages	39
Journal	Reviews in Mathematical Physics
Volume	12
Issue number	9
DOIs	https://doi.org/10.1142/S0129055X00000411
State	Published - Sep 2000

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1142/S0129055X00000411

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abstract = "We study the Ginzburg-Landau energy of superconductors with high κ, put in a prescribed external field hex, for hex varying between the two critical fields Hc1 and Hc3. As κ → + ∞, we give the leading term in the asymptotic expansion of the minimal energy and show that energy minimizers have vortices whose density tends to be uniform and equal to hex.",

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On the energy of type-II superconductors in the mixed phase

Abstract

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