The Classical Binary and Triplet Distribution Functions for Two Component Plasma

The equilibrium properties of a multi-component plasma of charged particles that interact through the coulomb and short-range potentials are investigated. In particular, this article presents density expansions of the reduced distribution functions for more particles, our calculations are based on the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy, we used the results to calculate the binary and triplet distribution functions. We obtained the analytical form of the classical triplet distribution functions for two component plasma; one of them is based on the Kirkwood superposition approximation (KSA) which is consisting of the assumption that the potential in a set of three particles is the sum of the three pair potentials, this is equivalent to assuming that the triplet distribution function is the product of the three radial distribution functions, and the other form is calculated by integration the triplet distribution function (© 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)