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

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.

18 pages in LaTeX2e, 7 eps figures; some typos are corrected, matches the version to be published in Phys.Rev.D

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• Evolution of Magnetic Fields in Freely Decaying Magnetohydrodynamic Turbulence
• Lepton asymmetry growth in the symmetric phase of an electroweak plasma with hypermagnetic fields versus its washing out by sphalerons
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• Dynamo instabilities in plasmas with inhomogeneous chiral chemical potential
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• Chiral anomaly and dynamos from inhomogeneous chemical potential fluctuations
• Optical properties and energy propagation in a dielectric medium supporting magnetic current
• Anisotropic cold plasma modes in chiral vector Maxwell-Carroll-Field-Jackiw electrodynamics
• The effects of non-helical component of hypermagnetic field on the evolution of the matter-antimatter asymmetry, vorticity, and hypermagnetic field
• Impact of hypermagnetic fields on relic gravitational waves, neutrino oscillations and baryon asymmetry
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• Particle temperature and the Chiral Vortical Effect in the early universe
• Influence of the hypermagnetic field noise on the baryon asymmetry generation in the symmetric phase of the early universe
• Cosmological magnetic fields in turbulent matter
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space