Chain overlap, polymer adsorption solution

Usually, in the polymer adsorption theory, there are three stages adsorption from very dissolved solutions, when the substitution degree of surface is low, and macromolecules are situated at a large distance from each other The transitional stage, in which the distance between macromolecules is not large and their chains partially overlaps the plateau regime, when the macromolecule chains are overlapped, stretched into the solution, and only a small part is bound with the surface. This notion of polymer adsorption makes the theoretical calculations of macromolecule state in the adsorption layer more complicated. 

The polymer concentration in the adsorption layer is greater than in solution. The macromolecules in the adsorption layer are situated close to each other even if adsorption occurs from dilute solutions. The chains of macromolecules overlap, forming the network that is continually fluctuating. Bonds between two chains form and are destroyed continually. The number of chains between two bonds and the distance between them, e, termed the screening of correlation length, depend on the polymer concentration and chemical potential of chain [49]. The dependence between e and the polymer concentration in solution can be described by... 

---