Magnetic field amplification by shocks in galaxy clusters: application to radio relics
Luigi Iapichino, Marcus Br\"uggen

TL;DR
This paper explores how shock-induced vorticity and compressive effects in galaxy cluster mergers can amplify magnetic fields, explaining observed radio relic properties without relying solely on turbulence.
Contribution
It proposes that vorticity generated by shocks, combined with upstream pressure support, can sufficiently amplify magnetic fields in galaxy clusters, offering a new explanation for radio relic magnetic properties.
Findings
Vorticity from shocks can amplify magnetic fields to observed levels.
Compressional effects explain high polarization in radio relics.
ICM clumping has negligible impact on magnetic amplification.
Abstract
Merger shocks induce turbulence in the intra-cluster medium (ICM), and, under some circumstances, accelerate electrons to relativistic velocities to form so-called radio relics. Relics are mostly found at the periphery of galaxy clusters and appear to have magnetic fields at the microGauss level. Here we investigate the possible origins of these magnetic fields. Turbulence produced by the shock itself cannot explain the magnitude of these fields. However, we argue that if the turbulent pressure support in the ICM upstream of the merger shock is of the order of 10 to 30 percent of the total pressure on scales of a few times 100 kpc, then vorticity generated by compressive and baroclinic effects across the shock discontinuity can lead to a sufficient amplification of the magnetic field. Compressional amplification can explain the large polarisation of the radio emission more easily than…
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