Hierarchy of instabilities for two counter-streaming magnetized pair beams

Abstract

The instabilities triggered when two counter-streaming pair beams collide are analyzed. A guiding magnetic field is accounting for, while both beams are considered identical and cold. The instability analysis is conducted over the full \textbf{k}-spectrum, allowing to derive the hierarchy map of the dominant unstable modes, in terms of the initial beams energy ${\gamma }_0$ and a magnetic field strength parameter ${\Omega }_B$. Four different regions of the $({\Omega }_B,{\gamma }_0)$ phase space are identified, each one governed by a different kind of mode. The analysis also unravels the existence of a "triple point", where 3 different modes grow exactly the same rate. A number of analytical expressions can be derived, either for the modes growth-rates, or for the frontiers between the 4 regions.

To appear in Physics of Plasmas

References in corpus (5)

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• Magnetic field evolution in relativistic unmagnetized collisionless shocks
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Cited by in corpus (7)

• Confinement of relativistic electrons in a magnetic mirror en route to a magnetized relativistic pair plasma
• Kinetic inhibition of MHD-shocks in the vicinity of a parallel magnetic field
• Hierarchy of instabilities for two counter-streaming magnetized pair beams: influence of field obliquity
• Microscopic model for relativistic hydrodynamics of ideal plasmas
• Density filamentation nonlinearly driven by the Weibel instability in relativistic beam plasmas
• Particle trajectories in Weibel filaments: influence of external field obliquity and chaos
• Quantum electrodynamic effects on counter-streaming instabilities in the whole \textbf{k} space