The Quantum Binary and Triplet Distribution Functions for Two-Component Plasma

Abstract

The aim of this paper is to calculate the analytical form of the quantum binary and triplet distribution functions of charged particles that interact through the effective potential for two component plasma. We consider only the thermal equilibrium plasma in the case of , 1 3 << λ ab n where KT m ab ab 2 = λ is the thermal De Broglie wavelength ; our calculations are based on the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy. Two forms of the quantum triplet distribution function are calculated; 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, and the other form is calculated by integration the triplet distribution function.