PIMC Simulations of Metal Hydrogen: Phase Transition and Equation of State

The article is devoted to numerical studies of atomic (metal) hydrogen with Path Integral Monte Carlo (PIMC) technique. The research is focused on the range of temperatures and densities where quantum statistics effects are crucial for electrons and negligible for protons. In this range the equations of state are obtained as a dependence of internal energy and pressure on temperature and density. These dependences allow to detect and describe the phase transition between solid and liquid phases.