Scaling theory of polyelectrolyte adsorption on a repulsive charged surface

We studied the problem of many-polyelectrolyte adsorption on a repulsive charged surface by scaling analysis. According to ratio of the dielectric constant between the medium and the substrate, the phase diagrams of the adsorbed layer are divided into two classes. Their phase diagrams are qualitatively different. The polyelectrolytes of low (high) fZ2 are adsorbed for low (high) dielectric ratio, where f is the fraction of charged monomers and Z is the polyelectrolyte valency.