Abstract
We perform uniformly sampled large-scale cosmological simulations including
magnetic fields with the moving mesh code AREPO. We run two sets of MHD
simulations: one including adiabatic gas physics only; the other featuring the
fiducial feedback model of the Illustris simulation. In the adiabatic case, the
magnetic field amplification follows the \$B \rho^2/3\$ scaling derived
from `flux-freezing' arguments, with the seed field strength providing an
overall normalisation factor. At high baryon overdensities the amplification is
enhanced by shear flows and turbulence. Feedback physics and the inclusion of
radiative cooling change this picture dramatically. Gas collapses to much
larger densities and the magnetic field is amplified strongly, reaching
saturation and losing memory of the initial seed field. At lower densities a
dependence on the seed field strength and orientation, which in principle can
be used to constrain models of cosmological magnetogenesis, is still present.
Inside the most massive haloes magnetic fields reach values of \$\sim
10-100\,G\$, in agreement with galaxy cluster observations. The topology of
the field is tangled and gives rise to rotation measure signals in reasonable
agreement with the observations. However, the rotation measure signal declines
too rapidly towards larger radii compared to observational data.
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