Two Temperature Ornstein-Zernike Relations for Warm Dense Matter*

Out of equilibrium systems in which the electron and ion temperatures are different have become of interest due to their presence at short time scales in shock-compressed and ultrafast laser heated solids. One widely used method in the equilibrium limit of these systems is the average atom model, the rapidity of which offers a compelling alternative to more precise, but time intensive, many-ion methods such as Kohn-Sham molecular dynamics. Average atom models often rely on the so-called Ornstein-Zernike relations to offer a complete description of the surrounding ions in the plasma. Here we derive a fully quantum extension of these equations to the limit of two temperature systems and show recent results obtained using such an approach.