Quantum theory for the dynamic micro-structure in correlated two-component systems far from equilibrium -- application to x-ray scattering

We present a quantum theory for the dynamic structure factors in non-equilibrium, correlated, two-component systems like plasmas or warm dense matter. On this basis, expressions for the local field corrections in non-equilibrium could be determined as well. The polarization function, needed as 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 bump-on-hot-tail distribution as often encountered during laser heating of materials.