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VORTEX SOLUTIONS OF THE HIGH-κ HIGH-FIELD GINZBURG–LANDAU MODEL WITH AN APPLIED CURRENT

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Abstract
In this paper, we study the single-vortex solutions of a two-dimensional high-κ high-field Ginzburg–Landau model of superconductivity with a constant applied current. Under a nondegeneracy condition and for appropriate ranges of the applied magnetic field and applied current, we construct some special solutions which, up to a constant shift of phase in time, are the stationary solutions of the model equation. Our result provides partial justification for the existence of a critical applied current which is the one important step towards a rigorous mathematical characterization of the interactions between the quantized vortices and applied electric current.

Key words. Ginzburg–Landau model, superconductivity, quantized vortices, critical current, Lorentz force, steady state vortex solution

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Informasi Detail

Judul Seri

SIAM J. MATH. ANAL.

No. Panggil

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Penerbit

New York : Society for Industrial and Applied Mathematics., 2010

Deskripsi Fisik

SIAM J. MATH. ANAL.Vol. 42, No. 6, pp. 2368–2401

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

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