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Asymptotics of minimizers for the one-dimensional Ginzburg–Landau model of superconductivity

✍ Scribed by Wanghui Yu

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
120 KB
Volume
45
Category
Article
ISSN
0362-546X

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✦ Synopsis

Let

be a domain in R n occupied by a superconductor material. According to the Ginzburg-Landau theory, the order parameter (complex-valued) and the induced magnetic potential A of the material must minimize the following Ginzburg-Landau functional:

where H is the applied magnetic ÿeld and k is the Ginzburg-Landau parameter of the material. Let = e iÄf ; Q = A -f, where f is a real-valued function. Then the Ginzburg-Landau functional can be rewritten as

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