Vortex structure of Gross-Pitaevskii model (Q2503378)

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Vortex structure of Gross-Pitaevskii model
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    Vortex structure of Gross-Pitaevskii model (English)
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    14 September 2006
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    In the paper the kinetic helicity of vortex lines of the Gross-Pitaevskii model are classified by means of Hopf index, Brouwer degree, and linking number in geometry. A mechanism of generation and annihilation of vortex lines is presented. The evolution equation of the vortex line is also given. Moreover, a behavior of the dynamics of the equation at the singularity points is discussed. Three kinds of length approximation relations at the neighborhood of the singularity points are found.
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    Vortex lines
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    kinetic helicity
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    Gross-Pitaevskii model
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