No abstract

The pseudopotentials of particle interaction, taking into account quantum-mechanical effects of diffraction at short distances and also screening effects at large distances, are obtained for a partially ionized plasma. The dielectric function method was used.

The effective potential Φ of a classical ion in a weakly correlated quantum plasma in thermodynamic equilibrium at finite temperature is well described by the RPA screened Coulomb potential. Additionally, collision effects can be included via a relaxation time ansatz (Mermin dielectric function). These potentials are used to study the quality of various statically screened potentials that were recently proposed by Shukla and Eliasson (SE) (2015)] starting from quantum hydrodynamic theory (QHD). Our analysis reveals that the SE potential is qualitatively different from the full potential, whereas the SM potential (at any temperature) and the AM potential (at zero temperature) are significantly more accurate. This confirms the correctness of the recently derived [Michta et al., Contrib. Plasma Phys. 55, (2015)] pre-factor 1/9 in front of the Bohm term of QHD for fermions.

Using the dielectric function method, the effective interaction potential between ions in a dense semiclassical plasma is investigated. For the case of a partially ionized strongly coupled plasma, the effective potential of charge-unperturbed atom interaction is presented. Both effective potentials are screened. To obtain these potentials the dielectric function is used, taking into account the quantum diffraction effects in electron-electron interactions.

In this article a dense nonideal, nonisothermal plasma is considered. New effective screened interaction potentials taking into account quantum-mechanical diffraction and symmetry effects have been obtained. The effective potential of the ion-ion interaction in plasmas with a strongly coupled ion subsystem and semiclassical electron subsystem is presented. Based on the obtained effective potentials the analytical expressions for internal energy and the pressure of the considered plasma were obtained.