THE NONUNIFORM WERTHEIM-ORNSTEIN-ZERNIKE EQUATION - DENSITY PROFILES AND PAIR CORRELATION-FUNCTIONS OF A DIMERIZING HARD-SPHERE NEAR A HARD-WALL

A dimerizing model of hard spheres near a hard wall is studied using t he inhomogeneous Wertheim Ornstein-Zernike (WOZ2) equation and the inh omogeneous associative Percus-Yevick (APY2) closure. Dimerization occu rs because of the directional associative interactions. A mutually con sistent set of density profiles and inhomogeneous pair correlation fun ctions are investigated. Also we obtain the dependence of the associat ion constant on the distance of the fluid particles from the surface. This property is unavailable from singlet integral equations. The appl ication of the WOZ2 equation is an important and promising step in the theory of inhomogeneous chemically associating fluids. This theory al lows a lateral ordering of the fluid particles; further, it makes the study phase transformations at the fluid-solid interface, in the prese nce of chemical association, possible. The combined effects of bulk an d surface chemical association can be studied by this method. We expec t that a description of wetting phenomena of chemically associating fl uids at solid surfaces can be achieved with the WOZ2 equation by using more sophisticated models and more adequate closures.