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Magnetic Field Evolution in Superconducting Neutron Stars
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The presence of superconducting and superfluid components in the core of mature neutron stars calls for the rethinking of a number of key magnetohydrodynamical notions like resistivity, the induction equation, magnetic energy and flux-freezing. Using a multi-fluid magnetohydrodynamics formalism, we investigate how the magnetic field evolution is modified when neutron star matter is composed of superfluid neutrons, type-II superconducting protons and relativistic electrons. As an application of this framework, we derive an induction equation where the resistive coupling originates from the mutual friction between the electrons and the vortex/fluxtube arrays of the neutron and proton condensates. The resulting induction equation allows the identification of two timescales that are significantly different from those of standard magnetohydrodynamics. The astrophysical implications of these results are briefly discussed.
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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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