Longitudinal waves and a beam instability in a relativistic anisotropic plasma

Physics – Plasma Physics

Scientific paper

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Beam Interactions, Longitudinal Waves, Magnetohydrodynamic Stability, Nonuniform Plasmas, Plasma Waves, Relativistic Plasmas, Anisotropic Media, Damping, Distribution Functions, Plasma-Particle Interactions, Pulsars, Wave Dispersion

Scientific paper

The dispersion relations for longitudinal waves in a relativistic plasma with an arbitrary anisotropic particle distribution function are studied. The results are compared with the corresponding results on the dispersion relations for longitudinal waves in both isotropic, relativistic plasmas and one-dimensional relativistic plasmas. The instability of a beam of high-energy particles in a relativistic plasma is compared with an arbitrary anisotropic particle distribution function. Longitudinal waves with a phase velocity smaller than the speed of light are found to exist in the plasma and an expression is derived for their damping rate. The results of one-dimensional theory can be used in calculating the imaginary part of the complex dielectric function. The results also show that as the anisotropy of the ultrarelativistic plasma becomes less pronounced, the maximum growth rate for the hydrodynamic instability increases, and the value at which it reaches its maximum does not change when the anisotropy of the plasma changes.

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