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.