Abstract
The problem of the surface density profiles and of the surface tension of a two-component liquid of charged particles in equilibrium with its vapour is examined. The exact equilibrium conditions for the profiles are given in terms of the inverse response functions of the inhomogeneous fluid and alternative exact expressions for the surface tension are derived. The use of a density gradient expansion reduces the problem to the knowledge of properties of a homogeneous charged fluid on a uniform neutralizing background, in which the total particle density and the charge density are independent variables. Additional simplifications are discussed for special cases for which a perturbative treatment of the surface charge density profile can be developed and, in particular, for nearly symmetric ionic liquids and for simple liquid metals.
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