Modulational instability of a relativistic plasma near a pulsar

Astronomy and Astrophysics – Astronomy

Scientific paper

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Magnetohydrodynamic Stability, Plasma Turbulence, Pulsars, Radio Sources (Astronomy), Relativistic Plasmas, Inhomogeneity, Integral Equations, Nonuniform Plasmas, Time Response

Scientific paper

A modulational instability in a relativistic turbulent plasma is investigated which might explain pulsar radio emission. The linear stage of this instability is analyzed with and without allowance for charge renormalization, assuming that the instability produces bunches and blobs of longitudinal perturbations that coherently radiate transverse electromagnetic waves. The time required for the instability to develop is estimated, and the level of turbulence at which it can develop is determined. Possible sizes of inhomogeneities at which coherent emission is possible are derived from the inverse values of the maximum, minimum, and intermediate wavenumbers at which the longitudinal perturbations produced by the instability propagate.

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