  We present a first principles approach to study the Chiral Magnetic Effect
during the pre-equilibrium stage of a heavy-ion collision. We discuss the
dynamics of the Chiral Magnetic Effect and Chiral Magnetic Wave based on
real-time lattice simulations with dynamical (Wilson and Overlap) fermions
simultaneously coupled to color and electromagnetic fields. While for light
quarks we observe a dissipation-less transport of charges as in anomalous
hydrodynamics, we demonstrate that for heavier quarks the effects of explicit
chiral symmetry breaking lead to a significant reduction of the associated
currents.
