A quantization property for static Ginzburg-Landau vortices. (Q2710679)

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A quantization property for static Ginzburg-Landau vortices.
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    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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