Statistics – Computation
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...268..705z&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 268, no. 2, p. 705-713.
Statistics
Computation
7
Computational Astrophysics, Neutron Stars, Pulsar Magnetospheres, Equations Of Motion, Numerical Integration, Stellar Radiation, Stellar Rotation
Scientific paper
For the case of aligned magnetic and rotational axes we solve a fluid version of the Lorentz-Dirac equation, in the Landau approximation, for a two-component plasma. We start from an approximately force-free initial condition and numerically integrate the full equations of motion for a time equal to 1.6 percent of one stellar rotation period. We find that the system tends to a charge-separated state in which a negative charge region above the poles is separated by a vacuum gap from a positive charge region near the equator. We see the formation of force-free regions and a tendency of the vacuum gap to spread as the integrations proceed. The negative charge above the polar region is electrostatically bound and there is a force-free region towards which negative charge tends to flow. Some positive charge is magnetically confined near the stellar equator and other positive charge crosses magnetic field lines moving outward to the region beyond the light cylinder.
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