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Elliott, C. M.; Matano, H.; Qi, Tang

Zeros of a complex Ginzburg-Landau order parameter with applications to superconductivity. (English) Zbl 0817.35112

Eur. J. Appl. Math. 5, No. 4, 431-448 (1994).
Summary: We consider the minimizers of the Gibbs free energy which couples a complex Ginzburg-Landau order parameter with a magnetic potential. It is established that the set on which the complex order parameter equals zero consists only of isolated points. Some estimates concerning the set on which the absolute value of the order parameter is small are also given. Numerical simulations are presented for the problem without a magnetic potential.

Cited in 1 Review
Cited in 12 Documents

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
35J20 Variational methods for second-order elliptic equations
82D55 Statistical mechanics of superconductors

Keywords:

gauge invariance; energy functional; Gibbs free energy; complex Ginzburg- Landau order parameter
PDFBibTeX XMLCite
\textit{C. M. Elliott} et al., Eur. J. Appl. Math. 5, No. 4, 431--448 (1994; Zbl 0817.35112)
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