Exact relativistic kinetic theory of an electron beam-plasma system: hierarchy of the competing modes in the system parameter space

Abstract

Besides being one of the most fundamental basic issues of plasma physics, the stability analysis of an electron beam-plasma system is of critical relevance in many areas of physics. Surprisingly, decades of extensive investigation had not yet resulted in a realistic unified picture of the multidimensional unstable spectrum within a fully relativistic and kinetic framework. All attempts made so far in this direction were indeed restricted to simplistic distribution functions and/or did not aim at a complete mapping of the beam-plasma parameter space. The present paper comprehensively tackles this problem by implementing an exact linear model. We show that three kinds of modes compete in the linear phase, which can be classified according to the direction of their wavenumber with respect to the beam. We then determine their respective domain of preponderance in a three-dimensional parameter space. All these results are supported by multidimensional particle-in-cell simulations.

arXiv commentTo appear in PRL

References in corpus (8)

• The Physics of Gamma-Ray Bursts
• Generation of Magnetic Fields in the Relativistic Shock of Gamma-Ray-Burst Sources
• GRS 1915+105 and the Disc-Jet Coupling in Accreting Black Hole Systems
• Characterization of the initial filamentation of a relativistic electron beam passing through a plasma
• Long-time evolution of magnetic fields in relativistic GRB shocks
• Constraints on the Extremely High-Energy Cosmic Ray Accelerators from Classical Electrodynamics
• Thermal equilibrium and statistical thermometers in special relativity
• Magnetic field generation in relativistic shocks - An early end of the exponential Weibel instability in electron-proton plasmas

Cited by in corpus (53)

• The microphysics of collisionless shock waves
• Relativistic Brownian Motion
• Weibel, Two-Stream, Filamentation, Oblique, Bell, Buneman... which one grows faster ?
• Theory of Fast Electron Transport for Fast Ignition
• Physics of Weibel-mediated relativistic collisionless shocks
• Collisionless Weibel shocks: full formation mechanism and timing
• How large can the electron to proton mass ratio be in Particle-In-Cell simulations of unstable systems?
• High order resolution of the Maxwell-Fokker-Planck-Landau model intended for ICF applications
• Radiation from sub-Larmor scale magnetic fields
• Weibel instability-mediated collisionless shocks in laser-irradiated dense plasmas:Prevailing role of the electrons in the turbulence generation
• Electron polarization in ultrarelativistic plasma current filamentation instabilities
• Waves of magnetic moment and generation of waves by neutron beam in quantum magnetized plasma
• Physics and phenomenology of weakly magnetized, relativistic astrophysical shock waves
• On collisions driven negative energy waves and Weibel instability of a relativistic electron beam in a quasi-neutral plasma
• Two-stream-like instability in dilute hot relativistic beams and astrophysical relativistic shocks
• Generation of near-equipartition magnetic fields in turbulent collisionless plasmas
• Physics of relativistic collisionless shocks: The scattering center frame
• Simulation study of the formation of a non-relativistic pair shock
• Physics of relativistic collisionless shocks: III The suprathermal particles
• The filamentation instability driven by warm electron beams: Statistics and electric field generation
• Simulation study of the filamentation of counter-streaming beams of the electrons and positrons in plasmas
• PIC simulation of a strong double layer in a nonrelativistic plasma flow: Electron acceleration to ultrarelativistic speeds
• Spatiotemporal dynamics of ultrarelativistic beam-plasma instabilities
• Origin of intense electron heating in relativistic blast waves
• Collisional behaviors of astrophysical collisionless plasmas
• Exact kinetic theory for the instability of an electron beam in a hot magnetized plasma
• A fast current-driven instability in relativistic collisionless shocks
• Electron slingshot acceleration in relativistic preturbulent shocks explored via emitted photon polarization
• Stationarity, soft ergodicity, and entropy in relativistic systems
• Refining pulsar radio emission due to streaming instabilities: Linear theory and PIC simulations in a wide parameter range
• Hierarchy of instabilities for two counter-streaming magnetized pair beams
• Two-dimensional simulations of nonlinear beam-plasma interaction in isotropic and magnetized plasmas
• Branching of high-current relativistic electron beam in porous materials
• Saturation of the asymmetric current filamentation instability under conditions relevant to relativistic shock precursors
• Mapping the self-generated magnetic fields due to thermal Weibel instability
• Density jump as a function of magnetic field for collisionless shocks in pair plasmas: the perpendicular case
• Particles trajectories in Weibel magnetic filaments with a flow-aligned magnetic field
• Hierarchy of instabilities for two counter-streaming magnetized pair beams: influence of field obliquity
• Nonlinear adiabatic electron plasma waves. I. General theory and nonlinear frequency shift
• Unstable spectrum of a relativistic electron beam interacting with a quantum collisional plasma: application to the Fast Ignition Scenario
• Robustness of the filamentation instability in arbitrarily oriented magnetic field: Full 3D calculation
• Three dimensional filamentary structures of a relativistic electron beam in Fast Ignition plasmas
• Robustness of the filamentation instability for asymmetric plasma shells collision in arbitrarily oriented magnetic field
• Electric field generation by the electron beam filamentation instability: Filament size effects
• Instabilities for a relativistic electron beam interacting with a laser irradiated plasma
• Diffusive acceleration in relativistic shocks: particle feedback
• Streaming instability in neutron star magnetospheres: No indication of soliton-like waves
• The baryon loading effect on relativistic astrophysical jet transport in the interstellar medium
• Manifestly covariant classical correlation dynamics I. General theory
• Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture
• Quantum electrodynamic effects on counter-streaming instabilities in the whole \textbf{k} space
• Kinetic Simulations of Strongly-Magnetized Parallel Shocks: Deviations from MHD Jump Conditions
• Electron penetration heating in turbulent magnetic loops driven by nonrelativistic laser-plasma interaction