Inertial mechanism of magnetic-field generation in pulsars

Astronomy and Astrophysics – Astronomy

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Inertia, Neutron Stars, Pulsars, Stellar Magnetic Fields, Baryons, Electron Density (Concentration), Field Strength, Maxwell Equation, Nonrelativistic Mechanics, Ohms Law, Vector Analysis

Scientific paper

An inertial mechanism of magnetic-field generation is investigated for a rotating neutron star consisting of a two-phase solid core and a highly degenerate but nonrelativistic electron-baryon fluid. An analysis is performed which shows that the electron viscosity in the electron-baryon fluid is much greater than the baryon viscosity and that the relative motion of the electron and baryon gases produces an azimuthal electric current which generates a magnetic field. A generalized Ohm's law is derived for the electron-baryon fluid by using the ratio between viscosities, the spatial-temporal equation for the magnetic field is solved, and possibilities are examined for obtaining strong magnetic fields in pulsars. The results obtained indicate that magnetic fields of the order of 10 billion gauss may be generated in the electron-baryon fluid if the electron density is low relative to the baryon density and that the magnetic-field rise time ranges from 1000 to 1 million years.

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