  Within a holographic model, we calculate the time evolution of 2-point and
1-point correlation functions (of selected operators) within a charged strongly
coupled system of many particles. That system is thermalizing from an
anisotropic initial charged state far from equilibrium towards equilibrium
while subjected to a constant external magnetic field. One main result is that
thermalization times for 2-point functions are significantly (approximately
three times) larger than those of 1-point functions. Magnetic field and charge
amplify this difference, generally increasing thermalization times. However,
there is also a competition of scales between charge density, magnetic field,
and initial anisotropy, which leads to an array of qualitative changes on the
2- and 1-point functions. There appears to be a strong effect of the medium on
2-point functions at early times, but approximately none at later times. At
strong magnetic fields, an apparently universal thermalization time emerges, at
which all 2-point functions appear to thermalize regardless of any other scale
in the system. Hence, this time scale is referred to as saturation time scale.
As extremality is approached in the purely charged case, 2- and 1-point
functions appear to equilibrate at infinitely late time. We also compute
2-point functions of charged operators. Our results can be taken to model
thermalization in heavy ion collisions, or thermalization in selected condensed
matter systems.
