We analyse the impact of the decaying magnetic turbulence of primordial magnetic fields (PMFs) and ambipolar diffusion on the ionisation and thermal history of the Dark Ages Universe (30łe złe300), and its imprint on the spectral profile of the global signal in the redshifted 21 cm hydrogen line. The heating function caused by decaying magnetic turbulence monotonically decreases after cosmological recombination; its amplitude strongly depends on the strength of the PMFs' B₀ and weakly depends on the spectral index of the initial power spectrum of the PMFs' n_̊m B. The heating function caused by ambipolar diffusion, in contrast, noticeably depends on the spectral index in the range -3łesssim n_ ̊m B łesssim4 but is subdominant in the Dark Ages epoch for PMF models with B₀łesssim0. 5 nG. We computed the ionisation and thermal history of intergalactic gas from the cosmological recombination up to the end of the Dark Ages epoch for a range of PMF parameters, 0. 05łesssim B₀łesssim0. 5 nG, -2. 9łesssim n_ ̊m B łesssim4, and show the essentially distinguished thermal evolution from one in the Lambda cold dark matter (ΛCDM) model. We also show that the profile of the redshifted 21 cm hydrogen line is very sensitive to the PMF parameters from this range and can be used for their constraints in conjunction with other observational data.
Novosyadlyj et al. (Fri,) studied this question.