A semi-analytic theory for the static properties of a one-(and multi-) component plasma in two and three dimensions

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Abstract
A universal one-parameter scaled form for the direct correlation function of the one-component plasma, and a generalised mean-spherical approximation, are combined to form models in which the scaling parameter is determined from the solution of an ordinary first-order differential equation. Two possible differential equations are treated: one based on thermodynamic consistency and the other on the mean-spherical approximation for soft potentials. Both models give similar predictions that compare well with the Monte Carlo data in both two and three dimensions and are readily extended to mixtures. The results for mixtures are given exactly by a one-fluid model, with the ion-sphere charge averaging.