Coulomb corrections to the equation of state for a weakly-coupled plasma

Coulomb corrections to the equation of state of degenerate matter are usual ly described by Debye-Huckel theory; however, recent studies have considere d modifications of thermodynamic quantities which are caused by the interac tions of charged particles beyond the Debye-Huckel approximation, Based on the weakly-coupled plasma limit, the formulae for the physical properties o f non-ideal effects on the equation of state are derived. The treatment of the non-ideal effects due to Coulomb coupling combines the results of quant um-statistic calculations for the electrons, N-body semianalytic theory for ions, and the extended Debye-Huckel theory with hard-core correction for t he electron-ion interaction. The leading Coulomb correction not only can be applied to the weak-coupling region, but also preserves the well-known Deb ye-Huckel limit at Gamma much less than 1. We examine the Coulomb correctio n to the thermodynamic quantities of a weakly coupled and fully ionized pla sma. The result reveals that the contribution is quite significant, and hen ce modifies the thermodynamic properties of the plasma substantially.