Within a holographic model, we calculate the time evolution of 2-point and 1-point correlation functions 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.
We then consider the hydrodynamic regime of this system. In all generality, we derive the (chiral) hydrodynamic constitutive equations governing a quantum field
theory with a chiral anomaly in a charged thermal fluid state, subjected to a strong external magnetic field. As a proof of existence, within a holographic model, we
compute most of the associated transport coefficients. Our results can be taken to model thermalization and (chiral) transport in heavy ion collisions or in
condensed matter systems.