Solution of the associative Percus-Yevick approximation for the multicomponent mixture of dimerizing hard spheres with surface adhesion

An analytical solution of the two-density Ornstein-Zernike equation closed by the associative Percus-Yevick approximation for the multicomponent mixture of dimerizing adhesive hard spheres (DAHS) is obtained in closed form. This is the generalization of the previous solution for the one-component DAHS model, which has been proposed for the description of protein effect on the properties of reverse micelles. Although the solution is illustrated by its application to the structure of the two-component model, it can be easily utilized for the arbitrary number of components.