  The one-component plasma (OCP) represents the simplest statistical mechanical
model of a Coulomb system. For this reason, it has been extensively studied
over the last forty years. The advent of the integral equations has resulted in
a dramatic improvement in our ability to carry out numerical calculations, but
came at the expense of a physical insight gained in a simpler analytic theory.
In this paper we present an extension of the Debye-Hueckel (DH) theory to the
OCP. The theory allows for analytic calculations of all the thermodynamic
functions, as well as the structure factor. The theory explicitly satisfies the
Stillinger-Lovett and, for small couplings, the compressibility sum rules,
implying its internal self consistency.
