Radial Distribution Functions for a Hydrogenous Plasma in Equilibrium

Abstract

Radial distribution functions $g_{\mathrm{ab}}\mathrm{}\left(r\right)\mathrm{}$ for a dense hydrogenous plasma ($n_i=n_e={10}^{18}$ electrons/cc) are obtained near the ionization temperature by solving the Percus-Yevick equation and a modified Percus-Yevick equation. The effective interparticle potentials used were obtained previously by a direct evaluation of their corresponding two-particle Slater sums, and include the Heisenberg quantal effect, but not the statistical quantal effect. The iterative solution of the equations, even using a variety of numerical procedures, is found to break down when the ionization falls appreciably.