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Quantization and Motion Law for Ginzburg–Landau Vortices

✍ Scribed by Didier Smets; Fabrice Bethuel; Giandomenico Orlandi

Publisher
Springer
Year
2006
Tongue
English
Weight
483 KB
Volume
183
Category
Article
ISSN
0003-9527

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📜 SIMILAR VOLUMES

A quantization property for static Ginzb
A quantization property for static Ginzburg-Landau vortices
✍ Fang-Hua Lin; Tristan Rivière 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

For any critical point of the complex Ginzburg-Landau functional in dimension 3, we prove that, for large coupling constants, κ = 1 ε ; if the energy of this critical point on a ball of a given radius r is relatively small compared to r log r ε , then the ball of half-radius contains no vortex (the

On the dynamical law of the Ginzburg-Lan
On the dynamical law of the Ginzburg-Landau vortices on the plane
✍ F.-H. Lin; J. X. Xin 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB 👁 2 views

We study the Ginzburg-Landau equation on the plane with initial data being the product of n well-separated +1 vortices and spatially decaying perturbations. If the separation distances are O(ε -1 ), ε 1, we prove that the n vortices do not move on the time scale the location of the j th vortex. The

Lines of vortices for solutions of the G
Lines of vortices for solutions of the Ginzburg–Landau equations
✍ Hassen Aydi 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 255 KB

For disc domains and for periodic models, we construct solutions of the Ginzburg-Landau equations which verify in the limit of a large Ginzburg-Landau parameter specified qualitative properties: the limit density of the vortices concentrates on lines.