Crystallization of the classical one-component plasma

A theory of the crystallization of the three-dimensional classical one-component plasma is described. The theory is based on analysis of the nonlinear equation for the inhomogeneous density distribution at phase equilibrium. We report calculations of the plasma parameter $\Gamma \equiv \left(\frac{Z{e}^2}{k_{B}T}\right){\left(\frac{4\pi \rho }{3}\right)}^{\frac{1}{3}}$, and the entropy change accompanying the transition. These values are in good agreement with those observed in computer simulations.