Polydisperse fluid mixtures of adhesive colloidal particles

We investigate polydispersity effects on the average structure factor of colloidal suspensions of neutral particles with surface adhesion. A sticky hard sphere model alternative to Baxterʹs one is considered. The choice of factorizable stickiness parameters in the potential allows a simple analytic solution, within the “mean spherical approximation”, for any number of components and arbitrary stickiness distribution. Two particular cases are discussed: (i) all particles have different sizes but equal stickiness (Model I), and (ii) each particle has a stickiness proportional to its size (Model II). The interplay between attraction and polydispersity yields a markedly different behaviour for the two Models in regimes of strong coupling (i.e., strong adhesive forces and low temperature) and large polydispersity. These results are then exploited to reanalyze experimental scattering data on sterically stabilized silica particles.