Chiral Effects and Cosmic Magnetic Fields
  In the presence of cosmic chiral asymmetry, chiral-vorticity and
chiral-magnetic effects can play an important role in the generation and
evolution of magnetic fields in the early universe. We include these chiral
effects in the magnetic field equations and find solutions under simplifying
assumptions. Our numerical and analytical results show the presence of an
attractor solution in which chiral effects produce a strong, narrow, Gaussian
peak in the magnetic spectrum and the magnetic field becomes maximally helical.
The peak in the spectrum shifts to longer length scales and becomes sharper
with evolution. We also find that the dynamics may become non-linear for
certain parameters, pointing to the necessity of a more complete analysis.
