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.
Force on proton vortices in superfluid neutron stars
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abstract
Force on proton vortices in superfluid and superconducting matter of neutron stars is calculated at vanishing stellar temperature. Both longitudinal (dissipative) and transverse (Lorentz-type) components of the force are derived in a coherent way and compared in detail with the corresponding expressions available in the literature. This allows us to resolve a controversy about the form of the Lorentz-type force component acting on proton vortices. The calculated force is a key ingredient in magnetohydrodynamics of superconducting neutron stars and is important for modeling the evolution of stellar magnetic field.
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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.