The MSA/MSA solution of the wallhyphen;particle Ornsteinndash;Zernike equation for the onehyphen;component plasma is formulated as a fastly convergent expansion, convenient for numerical calculations, which avoids the usual zonehyphen;byhyphen;zone representation of the profile rgr;(z). rgr;(z) is then a sum of exponential terms of complex argumentstn, where thetnare the zeros of the Baxter functionQtilde;(k). A typical relation between the contact value rgr;(o), the total potential drop, and the isothermal compressibility is derived. This new treatment of the MSA/MSA equation is used to extend previous work in two directions: (i) the wall is placed at an arbitrary distance from the edge of the background profile; and (ii) the ions and the background interact via a pseudopotential. The influence of the pseudopotential radius is discussed numerically and the freehyphen;surface situation is also considered. The effect of the pseudopotential is formally equivalent to the introduction of an adsorption potential at the wall.
展开▼
