The electric field of a pulsar magnetosphere

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electric Fields, Pulsar Magnetospheres, Pulsars, Azimuth, Dense Plasmas, Magnetic Dipoles, Particle Acceleration, Relativistic Electron Beams, Spherical Coordinates

Scientific paper

Numerical solutions for the electric field of a simplified model of a radio pulsar's magnetosphere are found. The magnetic field is that of a simple rotating dipole with a radial modulation which gives rise to a field line sweepback. The magnetic and rotation axes are orthogonal. The noncorotation potential, used in verifying the numerical results, is also calculated. Nonneutral beams of charge from the stellar surface are injected along the polar field at a radii of 0.1 R(L), where R(L) is the light cylinder distance. The beams' properties are chosen according to a local low-altitude theory on particle acceleration. It is shown that the nonpolar field lines form a region of corotation with the star. Results are obtained for a rotation period of 0.5 s, a magnetic moment of 5 x 10 to the 29th cgs, and an R(L) of 2.4 x 10 to the 9th cm indicate that the maximum noncorotation potential equals 35 percent of the full vacuum potential drop. The E/B absolute value ratio which gives an indication of where return currents are likely to form is computed. The region where the E/B absolute value ratio becomes unity closest to the star is at rotational colatitudes of about 45 deg for radii of about 1.5 R(L).

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