Theoretical study of the equation of state for warm dense matter

In this paper, we present in detail various theoretical models for studying the equation of state of warm dense matter, including the fluid variational theory, the chemical model, the ionization equilibrium model, the average atom model and INFERNO model. The method of calculating the equation of state of a mixture is also given. The results from the first principles molecular dynamics simulation and the quantum Monte Carlo simulation are also provided. Typical materials such as hydrogen, deuterium, helium, xenon, gold, tungsten, etc. are studied in warm dense region by using all the methods, showing the effects of dissociation and ionization in the equation of state.