The classical equation of state of fully ionized plasmas

The aim of this paper is to calculate the analytical form of the equation of state until the third virial coefficient of a classical system interacting via an effective potential of fully Ionized Plasmas. The excess osmotic pressure is represented in the forms of a convergent series expansions in terms of the plasma Parameter $\mu _ab = {{{e_a e_b \chi } \over {DKT}}}$μab=eaebχDKT, where χ2 is the square of the inverse Debye radius. We consider only the thermal equilibrium plasma.