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- W1983287771 abstract "A family of expressions is presented for the radial distribution of vortex lines in rotating helium II. This family is derived from asymptotic solutions to a differential equation proposed by Kemoklidze and Khalatnikov on the basis of the free-energy principle applied to a long, annular channel. The solutions are asymptotic in the sense that the quantum of circulation must be small compared to the circulation of a channel wall. The qualitative properties of the differential equation indicate that all solutions with positive vorticity and angular velocity of rotation are oscillatory. With increasing amplitude of oscillation, the solutions vary from the uniform vorticity distribution to distributions containing wide expanses free of vortex lines separated by narrow regions of high vortex-line density. This detailed analysis was necessary to determine whether a smooth transition could be achieved between a region of uniform vortex line density and a region of irrotational flow. The oscillatory solutions show that the answer is negative. Additionally, the oscillatory solutions are found to have high free energies, in agreement with the early analyses of London, of Landau and Lifshitz, and of Ginsburg." @default.
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- W1983287771 date "1968-01-05" @default.
- W1983287771 modified "2023-10-16" @default.
- W1983287771 title "Motion of Rotating Superfluid Helium in an Annular Channel" @default.
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- W1983287771 doi "https://doi.org/10.1103/physrev.165.300" @default.
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