Amplification of primordial magnetic fields by anisotropic gravitational collapse

Details Amplification of primordial magnetic fields by anisotropic gravitational collapse Amplification of primordial magnetic fields by anisotropic gravitational collapse

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006an....327..429k&link_type=abstract

Astronomische Nachrichten, Vol.327, Issue 5/6, p.429

Mathematics

Logic

Magnetic Fields, Cosmology: Theory, Cosmology: Large-Scale Structure, Galaxies: Formation, Galaxies: Clusters: General

Scientific paper

If a magnetic field, B, is frozen into a plasma that undergoes spherical compression then B varies with the plasma density ρ according to B ∝ ρ2/3. In the gravitational collapse of cosmological density perturbations, however, quasi-spherical evolution is very unlikely. In anisotropic collapses the magnetic field can be a much steeper function of gas density than in the isotropic case. We investigate the distribution of amplifications in realistic gravitational collapses from Gaussian initial fluctuations using the Zel'dovich approximation. Representing our results using a relation of the form B ∝ ρα, we show that the median value of α can be much larger than the α=2/3 resulting from spherical collapse, even if there is no initial correlation between magnetic field and principal collapse directions.

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