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Efficient highly-subsonic turbulent dynamo and growth of primordial magnetic fields (2101.08256v1)

Published 20 Jan 2021 in astro-ph.HE, astro-ph.CO, hep-ph, and physics.flu-dyn

Abstract: We present the first study on the amplification of magnetic fields by the turbulent dynamo in the highly subsonic regime, with Mach numbers ranging from $10{-3}$ to $0.4$. We find that for the lower Mach numbers the saturation efficiency of the dynamo, $(E_{\mathrm{mag}}/E_{\mathrm{kin}}){\mathrm{sat}}$, increases as the Mach number decreases. Even in the case when injection of energy is purely through longitudinal forcing modes, $(E{\mathrm{mag}}/E_{\mathrm{kin}})_{\mathrm{sat}}$ $\gtrsim 10{-2}$ at a Mach number of $10{-3}$. We apply our results to magnetic field amplification in the early Universe and predict that a turbulent dynamo can amplify primordial magnetic fields to $\gtrsim$ $10{-16}$ Gauss on scales up to 0.1 pc and $\gtrsim$ $10{-13}$ Gauss on scales up to 100 pc. This produces fields compatible with lower limits of the intergalactic magnetic field inferred from blazar $\gamma$-ray observations.

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