Vortex Dynamics of Ginzburg–Landau Equations in Inhomogeneous Superconductors
✍ Scribed by Huai-Yu Jian; Bin-Heng Song
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 162 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
## Abstract Spatially periodic equilibria __A__(__X, T__) = √1 − __q__^2^ __e__ are the locally preferred planform for the Ginzburg‐Landau equation ∂~__T__~__A__ = ∂^2^~__X__~__A__ + __A__ − __A__|__A__|^2^. To describe the global spatial behavior, an evolution equation for the local wave number __
Here we study the asymptotic behavior of solutions to the complex Ginzburg-Landau equations and their associated heat flows in arbitrary dimensions when the Ginzburg-Landau parameter 1 ε tends to infinity. We prove that the energies of solutions in the flow are concentrated at vortices in two dimens