Neutron star magnetic field decay - Flux expulsion from the superconducting interior

Statistics – Computation

Scientific paper

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Magnetic Flux, Neutron Stars, Stellar Interiors, Stellar Magnetic Fields, Superconductors, Vortices, Boltzmann Transport Equation, Computational Astrophysics, Force Distribution, Viscous Flow

Scientific paper

The viscous force acting on a moving vortex in a proton type II superconductor has been calculated by application of Chambers' representation of the Boltzmann equation. Equilibrium between the buoyancy, Magnus and viscous forces defines a vortex drift velocity such that magnetic flux is expelled from the superconducting interior to the solid crust in less than 10 Myr, a time many orders of magnitude smaller than the previous consensus. Ohmic dissipation in the crust may then be the cause of the 5 Myr time constant seen in the decay of radio pulsar dipole moments. The longer time constant (greater than about 1000 Myr), for which some evidence exists, could be explained by a small central volume of a nonsuperconducting phase, such as a normal Fermi baryon liquid.

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