Weibel instabilities in relativistic electron-positron plasmas

Physics

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Crab Nebula, Electron-Positron Plasmas, Pulsars, Relativistic Plasmas, Space Plasmas, Stellar Winds, Weibel Instability, Distribution Functions, Magnetoacoustic Waves, Magnetohydrodynamic Stability, Plasma Oscillations, Shock Waves

Scientific paper

Wisps have long been observed in the Crab Nebula. Modern observations reveal a whole series of wisps to the northwest, and at least one much fainter wisp to the southeast. Recently, a conceptual model of the wisps in the Crab Nebula has been proposed based on the shock structure of a relativistic magnetosonic shock wave in a electron-positron-proton plasma. The ion overshoot, downstream compressional oscillations, and possibly the pair overshoot can be identified with the wisps. In this paper, we study the linear stability properties of the Weibel instability, which are collective electromagnetic oscillations driven by pitch-angle anisotropy of the distribution functions. This instability can cause pitch-angle scattering of the charged particles and the isotropization of the distribution functions.

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