A relativistic two-stream instability in an extremely low-density plasma

Abstract

A linear analysis based on two-fluid equations in the approximation of a cold plasma, wherein the plasma temperature is assumed to be zero, demonstrates that a two-stream instability occurs in all cases. However, if this were true, the drift motion of electrons in an electric current over a wire would become unstable, inducing an oscillation in an electric circuit with ions bounded around specific positions. To avoid this peculiar outcome, we must assume a warm plasma with a finite temperature when discussing the criterion of instability. The two-stream instability in warm plasmas has typically been analyzed using kinetic theory to provide a general formula for the instability criterion from the distribution function of the plasma. However, the criteria based on kinetic theory do not have an easily applicable form. Here, we provide an easily applicable criterion for the instability based on the two-fluid model at finite temperatures, extensionally in the framework of special relativity. This criterion is relevant for analyzing two-stream instabilities in low-density plasmas in the universe and in Earth-based experimental devices.

arXiv comment18pages, 4 figures, accepted for pubblication on PoP

References in corpus (13)

• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• HARM: A Numerical Scheme for General Relativistic Magnetohydrodynamics
• General Relativistic Magnetohydrodynamic Simulations of Jet Formation and Large-Scale Propagation from Black Hole Accretion Systems
• First Sagittarius A* Event Horizon Telescope Results. V. Testing Astrophysical Models of the Galactic Center Black Hole
• Stability of Relativistic Jets from Rotating, Accreting Black Holes via Fully Three-Dimensional Magnetohydrodynamic Simulations
• The Event Horizon General Relativistic Magnetohydrodynamic Code Comparison Project
• Development of General Relativistic Magnetohydrodynamic Code and its Application to Central Engine of Long Gamma-Ray Bursts
• Particle-in-cell simulations of pair discharges in a starved magnetosphere of a Kerr black hole
• General Relativistic Magnetohydrodynamic Simulations of Collapsars
• Comprehensive analysis of magnetospheric gaps around Kerr black holes using 1D GRPIC simulations
• Two-stream-like instability in dilute hot relativistic beams and astrophysical relativistic shocks
• Relativistic Two-stream Instability
• Instabilities in relativistic two-component (super)fluids