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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


Phase dynamics in the real Ginzburg-Land
✍ Ian Melbourne; Guido Schneider 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 173 KB

## 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 __

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✍ Fang Hua Lin 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 386 KB

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