  We present a quantum theory for the dynamic structure factors in
non-equilibrium, correlated, two-component systems such as plasmas or warm
dense matter. Using this general framework, we derive expressions for effective
local field corrections to the random phase approximation. The polarization
function, which is needed as the input for the calculation of the structure
factors, is calculated in non-equilibrium based on a perturbation expansion in
the interaction strength. To make our theory applicable for x-ray scattering, a
generalized Chihara decomposition for the total electron structure factor in
non-equilibrium is derived. Examples are given for the special case of
equilibrium and for a model bump-on-hot-tail distribution, as often encountered
during laser heating of materials.
