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Vortex buoyancy in superfluid and superconducting neutron stars
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Buoyancy of proton vortices is considered as one of the important mechanisms of magnetic field expulsion from the superconducting interiors of neutron stars. Here we show that the generally accepted expression for the buoyancy force is not correct and should be modified. The correct expression is derived for both neutron and proton vortices. It is argued that this force is already contained in the coarse-grained hydrodynamics of Bekarevich & Khalatnikov and its various multifluid extensions, but is absent in the hydrodynamics of Hall. Some potentially interesting buoyancy-related effects are briefly discussed.
Forward citations
Cited by 2 Pith papers
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Neutron contribution to the force on a proton vortex in superconducting neutron-star matter
Normal neutrons scatter off proton vortices via the spatially varying condensate momentum, producing a purely longitudinal force proportional to relative neutron-vortex velocity that vanishes without neutron-proton Fe...
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Non-purely transverse Magnus force in superconducting neutron stars
In the idealized extreme type-II limit, the force on a proton vortex core is exactly the Magnus force evaluated with a corrected local proton current, yielding a longitudinal force component usually omitted.
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