Density functional taking into account nuclear thermal motion of compressed matter

The density functional method is widely used to calculate the properties of an electron gas in a fixed external field. Bogolyubov's inequality is used to generalize the density method to take into account motion. The results apply to a two-component system in which the nuclei satisfy classical statistics. Using the assumption that nuclei are classical particles, an extensive region of the phase diagram of typical metals is covered, corresponding to high values of temperature and density. Applications to a cell model describing dense heated states of matter are considered