We conducted numerical modeling of atomic (metallic) hydrogen using the PIMC (path integral Monte Carlo) method. The temperature and density range in which the electron (proton) behavior is governed by quantum (classical) statistics was studied. The equations of state in the form of dependences of the internal energy and pressure on temperature and density were obtained in that region. These dependences allow one to reveal and study the phase transition between crystal and liquid phases.
$^1$Department of Physics, Moscow State University, Moscow, 119991 Russia
$^2$Bogoliubov Institute for Theoretical Problems of Microphysics, Moscow State University, Moscow, 119991 Russia
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