THERMODYNAMIC PROPERTIES OF DENSE HYDROGEN PLASMAS WITH PARTIALLY DEGENERATE SEMICLASSICAL IONS

Abstract

In this article, we investigated the thermodynamic properties of a one-component dense non-ideal hydrogen plasma with semiclassical non-ideal ions against the background of degenerate quantum electrons. The effective potential of the ion-ion interaction that takes into account the quantum mechanical effects of diffraction was used as a model for the interaction. Ion-ion radial distribution functions were calculated based on the solution of the Ornstein-Zernike integral equation in the hypernetted-chain (HNC) approximation. In the calculations, the effective interaction potential was used as a micropotential since only the screening due to the uniform background (i.e., electrons) was taken into account, but not the screening due to the interaction between the ions themselves. In addition, the effective potential takes into account only the quantum effect of ion diffraction. Thermodynamic properties, such as the correlation energy and the non-ideal component of the equation of state, were calculated based on the obtained radial distribution functions and the interparticle interaction potential. Thermodynamic properties were presented as a percentage between the results based on the effective potential and the Yukawa potential depending on the density and coupling parameter values. The difference between the results is greater in denser plasma and at higher values of the coupling parameters.