Gamma-ordered results for a simple fluid

The radial distribution function obtained from Monte Carlo computations for a simple fluid are compared with approximation obtained from self-consistent ordering. In the liquid state the lowest order result is qualitatively satisfactory but leaves room for some quantitative improvement. In that state, a second order result, QUAD, is highly accurate and virtually indistinguishable from the EXP approximation of Andersen and Chandler, while a simplified second order result, LIN+ SQ, is nearly the same. The latter has an advantage of greater analytic simplicity that may prove useful in certain applications. These results are also compared in the gaseous state, where none of the perturbation theoretic results are fully satisfactory.