Longitudinal waves and the beam instability in a relativistic plasma

Physics

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Longitudinal Waves, Magnetohydrodynamic Stability, Particle Beams, Pulsars, Relativistic Particles, Relativistic Plasmas, Cerenkov Radiation, Distribution Functions, Elementary Excitations, Error Analysis, Light Speed, Phase Velocity

Scientific paper

Longitudinal waves in a relativistic plasma that have a phase velocity less than the speed of light are investigated. The existence of such waves is demonstrated for an arbitrary particle momentum distribution function that falls off with sufficient rapidity for large momenta. Previous studies of this phenomenon in connection with the problem of pulsar radiation are examined, and causes of confusion and error in some of these studies are discussed. The instability of a relativistic plasma associated with Cerenkov buildup of longitudinal waves by high- and low-energy particle beams is analyzed. Quasi-linear relaxation of a high-energy particle beam in a relativistic plasma is also considered, and the main characteristics of such relaxation are elucidated.

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