Microphysics of cosmic ray driven plasma instabilities
A.M. Bykov, A. Brandenburg, M.A. Malkov, S.M. Osipov

TL;DR
This review explores how cosmic rays induce plasma instabilities that amplify magnetic fields in astrophysical environments, focusing on various mechanisms and their implications for cosmic magnetic field evolution.
Contribution
It provides a comprehensive derivation of kinetic and MHD equations governing CR-driven instabilities, including resonant, non-resonant, and long-wavelength modes, with emphasis on helicity and dynamo processes.
Findings
Analysis of resonant and non-resonant instabilities including Bell instability.
Discussion of long-wavelength CR-driven instabilities and their role.
Connection between CR instabilities and cosmic magnetic field amplification.
Abstract
Energetic nonthermal particles (cosmic rays, CRs) are accelerated in supernova remnants, relativistic jets and other astrophysical objects. The CR energy density is typically comparable with that of the thermal components and magnetic fields. In this review we discuss mechanisms of magnetic field amplification due to instabilities induced by CRs. We derive CR kinetic and magnetohydrodynamic equations that govern cosmic plasma systems comprising the thermal background plasma, comic rays and fluctuating magnetic fields to study CR-driven instabilities. Both resonant and non-resonant instabilities are reviewed, including the Bell short-wavelength instability, and the firehose instability. Special attention is paid to the longwavelength instabilities driven by the CR current and pressure gradient. The helicity production by the CR current-driven instabilities is discussed in connection with…
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