A quantization property for static Ginzburg-Landau vortices. (Q2710679): Difference between revisions
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A quantization property for static Ginzburg-Landau vortices. | |||
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| Property / OpenAlex ID: W2070660812 / rank | |||
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A quantization property for static Ginzburg-Landau vortices. (English) | |||
| Property / title: A quantization property for static Ginzburg-Landau vortices. (English) / rank | |||
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| Property / published in: Communications on Pure and Applied Mathematics / rank | |||
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The authors consider critical points of the three dimensional complex Ginzburg-Landau functional for large coupling constant of order \(\varepsilon^{-1}\). It is shown that if the energy of this critical point on a ball of radius \(r\) is relatively small compared to \(r\log(r/\varepsilon)\), then the ball of half-radius contains no vortex. | |||
| Property / review text: The authors consider critical points of the three dimensional complex Ginzburg-Landau functional for large coupling constant of order \(\varepsilon^{-1}\). It is shown that if the energy of this critical point on a ball of radius \(r\) is relatively small compared to \(r\log(r/\varepsilon)\), then the ball of half-radius contains no vortex. / rank | |||
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Latest revision as of 18:28, 14 May 2025
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quantization property for static Ginzburg-Landau vortices. |
scientific article |
Statements
26 April 2001
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Ginzburg-Landau vortices
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A quantization property for static Ginzburg-Landau vortices. (English)
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The authors consider critical points of the three dimensional complex Ginzburg-Landau functional for large coupling constant of order \(\varepsilon^{-1}\). It is shown that if the energy of this critical point on a ball of radius \(r\) is relatively small compared to \(r\log(r/\varepsilon)\), then the ball of half-radius contains no vortex.
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