Plasma collective effects and pulsar emission models

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electron Beams, Magnetohydrodynamic Stability, Positrons, Pulsars, Relativistic Particles, Relativistic Plasmas, Stellar Radiation, Cyclotron Radiation, Dispersion, Energy Distribution, Radio Emission

Scientific paper

Several pulsar emission models are based on the fact that plasma instabilities caused by two relativistic particle streams can lead to radio or, in the case of the Crab pulsar, to optical, X-ray, and gamma-ray emission. The paper studies the unstable eigenmodes that can occur within a pulsar's light cylinder when the plasma consists of two or more relativistic particle streams of different momenta. Behavior of the unstable eigenmodes is investigated by analytical and/or numerical means as a function of parameters pertaining to the relativistic particle streams and the magnetic field. Where possible, all calculations are carried out in the pulsar (observer) frame of reference. The resulting expressions for the fastest growing waves can be easily compared with past or future pulsar models which predict particle streams of different momenta. The unstable eigenmodes are discussed in the context of parameters predicted by the Ruderman and Sutherland pulsar model. Also discussed are conditions under which various unstable eigenmodes will be of importance and the effect of changes in the particle energy distribution on collective processes.

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