A kinetic approach to cosmic-ray-induced streaming instability at supernova shocks

2008/06/30 by Elena Amato, Pasquale Blasi · 185 citations
Physics and Astronomy · #Acceleration #Astrophysics #Astrophysics and Cosmic Phenomena #Classical mechanics #Computational physics #Cosmic ray #Dispersion relation #Gamma-ray bursts and supernovae #Instability #Kinetic energy #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamics #Mechanics #Optics #Particle acceleration #Physics #Quantum mechanics #Shock (circulatory) #Shock wave #Solar System #Solar and Space Plasma Dynamics #Streaming instability #Supernova #astro-ph

paper · pdf · doi:10.1111/j.1365-2966.2008.14200.x

published in Monthly Notices of the Royal Astronomical Society 392(4), 1591-1600 (Oxford University Press) · Accepted for publication in MNRAS

arxiv created 2008/11/05 · openalex publication_date 2008/12/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that a purely kinetic approach to the excitation of waves by cosmic rays in the vicinity of a shock front leads to predict the appearance of a non-Alfvénic fast-growing mode which has the same dispersion relation as that previously found by Bell in 2004 by treating the plasma in the magnetohydrodynamic approximation. The kinetic approach allows us to investigate the dependence of the dispersion relation of these waves on the microphysics of the current which compensates the cosmic ray flow. We also show that a resonant and a non-resonant mode may appear at the same time and one of the two may become dominant on the other depending on the conditions in the acceleration region. We discuss the role of the unstable modes for magnetic field amplification and particle acceleration in supernova remnants at different stages of the remnant evolution.

Citations

• Principles of Plasma Physics
• Dynamical Effects of Self-Generated Magnetic Fields in Cosmic-Ray-modified Shocks

Cited by

• Transport of Electrons in Tangled Magnetic Fields
• Origin of Galactic Cosmic Rays
• Cosmic ray current driven turbulence in shocks with efficient particle acceleration: the oblique, long-wavelength mode instability
• On Fermi acceleration and magnetohydrodynamic instabilities at ultra-relativistic magnetized shock waves
• Understanding hadronic gamma-ray emission from supernova remnants
• Cosmic-ray current-driven instabilities – revisiting environmental conditions
• Cosmic-Ray Diffusion Suppression in Star-forming Regions Inhibits Clump Formation in Gas-rich Galaxies
• Contribution of starburst nuclei to the diffuse gamma-ray and neutrino flux
• Cosmic-ray generated bubbles around their sources
• Cosmic-ray acceleration and gamma-ray signals from radio supernovæ
• On particle acceleration and transport in plasmas in the Galaxy: theory and observations
• Gamma rays and neutrinos from SNR RX J1713.7–3946
• The Astrophysics of Ultrahigh-Energy Cosmic Rays
• On the growth of the thermally modified non-resonant streaming instability

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• A kinetic approach to non resonant modes and growth rates of streaming instability: consequences for shock acceleration
• Magnetohydrodynamic Fluid Stability in the Presence of Streaming Cosmic Rays
• Dynamical feedback of self-generated magnetic fields in cosmic ray modified shocks
• Generation of Mesoscale Magnetic Fields and the Dynamics of Cosmic Ray Acceleration
• The transport of cosmic rays in self-excited magnetic turbulence