Effect of triplet correlation on the equation of pair correlation function in a weakly coupled inhomogeneous plasma system

It is observed that retaining the triplet correlation to derive the equation of pair correlation function from the first two members of BBGKY hierarchy, modifies the structure of the equation and the pair correlation function significantly. This equation may be used to explore the thermodynamic properties of the weakly coupled inhomogeneous plasma systems. This study may also be relevant for homogeneous plasmas.