Electrodynamics Of Pulsar's Electrospheres

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

We present a self-consistent model of the magnetosphere of inactive, charged, aligned rotator pulsars with help on a semi-analytical and numerical algorithm. The only free parameter is the total charge of the system. This "electrosphere" is stable to vacuum breakdown by electron-positron pair production. However, it appears to be unstable to the so-called ``diocotron'' instability which is an electrostatic instability. Eigenspectra and eigenfunctions for different disc models, which differ by the total charge of the disc-star system are presented. The evolution of this instability on a long time-scale is studied in a fully non-linear description by means of numerical simulations. For multimode excitation, the average macroscopic response of the system can be described by a quasi-linear model. In the presence of an external source feeding the disk with positive charges, representing the effect of pair creation activity in the gaps, the diocotron instability may give rise to an efficient diffusion of charged particles across the magnetic field lines.

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