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Within a holographic model, we calculate the time evolution of 2-point and1-point correlation functions (of selected operators) within a charged stronglycoupled system of many particles. That system is thermalizing from ananisotropic initial charged state far from equilibrium towards equilibriumwhile subjected to a constant external magnetic field. One main result is thatthermalization times for 2-point functions are significantly (approximatelythree times) larger than those of 1-point functions. Magnetic field and chargeamplify 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 the2- and 1-point functions. There appears to be a strong effect of the medium on2-point functions at early times, but approximately none at later times. Atstrong magnetic fields, an apparently universal thermalization time emerges, atwhich all 2-point functions appear to thermalize regardless of any other scalein 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-pointfunctions appear to equilibrate at infinitely late time. We also compute2-point functions of charged operators. Our results can be taken to modelthermalization in heavy ion collisions, or thermalization in selected condensedmatter systems.

Correlations far from equilibrium in charged strongly coupled fluids subjected to a strong magnetic field