The hypothesis that magnetic fields buoyantly convect in neutron stars

Astronomy and Astrophysics – Astronomy

Scientific paper

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Buoyancy, Magnetic Diffusion, Neutron Stars, Stellar Interiors, Stellar Magnetic Fields, Chemical Equilibrium, Convection, Electron Scattering, Magnetic Flux

Scientific paper

The hypothesis that a magnetic field convects out of the superconducting interior of a neutron star on a time-scale 10 to the 6th - 10 to the 7th yr because of the buoyancy of its individual quantized magnetic flux tubes is critically examined. Examination of the relevant processes with emphasis on the gravity-induced electric field shows that: (1) the picture of flux tubes as independent buoyant entities is invalid in a neutron star because the electron mean free path greatly exceeds the lattice spacing of the flux tubes and the magnetic field is frozen in the electron gas; (2) the gravity-induced electric field ties the electron and proton gases together and, therefore, the magnetic field is frozen in a quasi-neutral plasma; (3) the buoyancy of the magnetic flux tubes is already included in the hydrostatic equation and does not require special treatment; (4) the Lorentz retarding force acting on the lattice owing to its drift motion through the plasma greatly exceeds the viscous force due to electron scatter; and (5) the diffusion time-scale of the magnetic field is of order of 10 to the 18th yr, in approximate agreement with original estimates.

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