Free energies of electron-screened ion plasmas in the hypernetted-chain approximation

Abstract
Free-energy formulas applicable to the electron-screened ion plasmas are derived in the hypernetted-chain approximation. The formulas are expressed in terms of the correlation functions and do not involve cumbersome thermodynamic integrations. Accuracy and thermodynamic consistency of the proposed formulas are examined and ascertained through explicit numerical comparison with the results of other independent calculations taking account of electronic screening in the interionic potentials.