New comprehensive description of the scaling evolution of the cosmological magneto-hydrodynamic system

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Main Authors: Uchida, Fumio, Fujiwara, Motoko, Kamada, Kohei, Yokoyama, Jun'ichi
Format: Preprint
Published: 2024
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author Uchida, Fumio
Fujiwara, Motoko
Kamada, Kohei
Yokoyama, Jun'ichi
author_facet Uchida, Fumio
Fujiwara, Motoko
Kamada, Kohei
Yokoyama, Jun'ichi
contents We study the evolution of primordial magnetic fields until the recombination epoch, which is constrained by the conservation of magnetic helicity density if they are maximally helical and by the Hosking integral if they are non-helical. We combine these constraints with conditions obtained by estimating time scales of energy dissipation processes to describe the evolution of magnetic field strength and magnetic coherence length analytically. The dissipation processes depend on whether magnetic or kinetic energy is dominant, whether the decay dynamics is linear or not, and whether the dominant dissipation term is shear viscosity or drag force. We apply the description to compare constraints on primordial magnetic fields at different epochs in the early universe and argue that magnetogenesis before the electroweak symmetry breaking is not feasible.
format Preprint
id arxiv_https___arxiv_org_abs_2405_06194
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle New comprehensive description of the scaling evolution of the cosmological magneto-hydrodynamic system
Uchida, Fumio
Fujiwara, Motoko
Kamada, Kohei
Yokoyama, Jun'ichi
Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Fluid Dynamics
We study the evolution of primordial magnetic fields until the recombination epoch, which is constrained by the conservation of magnetic helicity density if they are maximally helical and by the Hosking integral if they are non-helical. We combine these constraints with conditions obtained by estimating time scales of energy dissipation processes to describe the evolution of magnetic field strength and magnetic coherence length analytically. The dissipation processes depend on whether magnetic or kinetic energy is dominant, whether the decay dynamics is linear or not, and whether the dominant dissipation term is shear viscosity or drag force. We apply the description to compare constraints on primordial magnetic fields at different epochs in the early universe and argue that magnetogenesis before the electroweak symmetry breaking is not feasible.
title New comprehensive description of the scaling evolution of the cosmological magneto-hydrodynamic system
topic Cosmology and Nongalactic Astrophysics
High Energy Physics - Phenomenology
Fluid Dynamics
url https://arxiv.org/abs/2405.06194