Decay of Magnetic Fields in the Early Universe

Details Decay of Magnetic Fields in the Early Universe Decay of Magnetic Fields in the Early Universe

2003-02-17

arxiv.org/abs/astro-ph/0302320v1

Proceedings of the SEWM2002 meeting, Ed. Michael G Schmidt (World Scientific, Singapore, 2003)

Astronomy and Astrophysics

Astrophysics

5pp LaTeX + World Sci procs class, 3 eps figs. Talk given at Strong and Electroweak Matter, Oct 2-5 2002, Heidelberg

Scientific paper

We study the evolution of a stochastic helical magnetic field generated in the early Universe after the electroweak phase transition, using standard magnetohydrodynamics (MHD). We find how the coherence length xi, magnetic energy E_M and magnetic helicity H evolve with time. We show that the self-similarity of the magnetic power spectrum alone implies that xi ~ t^{1/2}. This in turn implies that magnetic helicity decays as H ~ t^{-2s}, and that the magnetic energy decays as E_M ~ t^{-0.5-2s}, where s is inversely proportional to the magnetic Reynolds number Re_M. These laws improve on several previous estimates.

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