Influence of the turbulent motion on the chiral magnetic effect in the early Universe

TL;DR

This paper investigates how turbulent motion influences the chiral magnetic effect in the early Universe, revealing that turbulence enhances electron asymmetry and affects magnetic field evolution.

Contribution

It introduces a model combining turbulence effects with the chiral magnetic effect in relativistic plasmas, highlighting turbulence's role in magnetic field and asymmetry evolution.

Findings

Turbulence enhances right-left electron asymmetry in strong magnetic fields.

Magnetic field energy and helicity spectra are significantly affected by turbulence.

The model shows turbulence amplifies the CME effects compared to non-turbulent scenarios.

Abstract

We study the magnetohydrodynamics of relativistic plasmas accounting for the chiral magnetic effect (CME). To take into account the evolution of the plasma velocity, obeying the Navier-Stokes equation, we approximate it by the Lorentz force accompanied by the phenomenological drag time parameter. On the basis of this ansatz, we obtain the contributions of both the turbulence effects, resulting from the dynamo term, and the magnetic field instability, caused by the CME, to the evolution of the magnetic field governed by the modified Faraday equation. In this way, we explore the evolution of the magnetic field energy and the magnetic helicity density spectra in the early Universe plasma. We find that the right-left electron asymmetry is enhanced by the turbulent plasma motion in a strong seed magnetic field compared to the pure the CME case studied earlier for the hot Universe plasma in the same broken phase.