# The growth of chiral magnetic instability in a large-scale magnetic field

## TL;DR

This paper investigates how plasma motion influences the chiral magnetic instability, revealing that magnetic fields and wave coupling significantly affect the instability's behavior in astrophysical and high-energy environments.

## Contribution

It introduces a linearized perturbation analysis showing the impact of plasma motion and magnetic fields on the chiral magnetic instability, highlighting wave coupling effects.

## Key findings

- Magnetic fields can suppress magnetohydrodynamic waves affecting instability.
- Unstable modes involve coupling between Alfven and magneto-acoustic waves.
- Wave propagation depends on magnetic field direction and Alfven speed exceeding sound speed.

## Abstract

The chiral magnetic effect emerges from a miroscopic level, and its interesting consequences have been discussed in the dynamics of the early universe, neutron stars and quark-gluon plasma. An instability is caused by anomalous electric current along magnetic field. We investigate effects of plasma motion on the instability in terms of linearized perturbation theory. A magnetic field can inhibit magnetohydrodynamic waves to a remarkable degree and thereby affects the instability mode. We also found that the unstable mode is consisted of coupling between Alfven and one of magneto-acoustic waves. Therefore, the propagation of a mixed Alfven wave driven by magnetic tension is very important. The direction of unperturbed magnetic field favors the wave propagation of the instability mode, when Alfven speed exceeds sound speed.