Astronomy and Astrophysics – Astronomy
Scientific paper
May 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997mnras.287..262s&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 287, Issue 2, pp. 262-270.
Astronomy and Astrophysics
Astronomy
29
Magnetic Fields, Mhd, Pulsars: General, Gamma-Rays: Theory
Scientific paper
There are differing views in the literature as to the location of an accelerating electric field component E_|| along the magnetic field, because of differing assumptions about the appropriate boundary conditions. In this paper, the dynamics of the formation of E_|| in a completely charge-separated flow is studied, taking the current density as a free parameter. It is shown that the acceleration of particles to energies high enough to make electron-positron pairs appears for both directions of field line curvatures (towards or away from the rotation axis) if the current density is larger than a critical value. It is stressed that the current density and in turn the appropriate boundary conditions for the local accelerator model are fixed only through adjustment to the solutions for the other parts of the magnetosphere. In particular, the statement that a charge density less than the local Goldreich-Julian density, referred to sometimes as a `starved state' or a `gap', is the cause of field-aligned acceleration is somewhat misleading. The solution for the field-aligned accelerator must be constructed together with the outer parts of the magnetosphere where the currents complete their circuits, and with account being taken of screening by pairs: i.e., the problem becomes global.
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