The Quantum Excess Free Energy for Two Component Plasma

The aim of this paper is to calculate the quantum excess free energy until the third virial coefficient for the two component plasma (TCP). We consider only the thermal equilibrium plasma in the case of n lambda(3)(ab) << 1 where lambda(2)(ab) = ((h) over bar (2))/(m(ab)KT) is the thermal De Broglie wave-length. The second and third virial coefficients are represented in forms of a convergent series expansion in terms of the interaction Parameter. 2 xi(2)(ab) = (e(a)e(b))/(lambda abKT). We obtained the excess free energy until the third virial coefficient to the order xi(6)(ab).. The effects of symmetry are taken into account, also the exchange effects were taken in account. We compared our results with others. Upon comparison with Ebeling et al. one observes that the considerable contribution of the third virial coefficient in the region of high temperatures. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim