Adsorption of polymer chains on structured surface: field theoretical approach

摘要

Taking into account the well known correspondence between the fieldtheoretical O(n)-vector model in the limit $n\to 0$ and the behavior oflong-flexible polymer chains in a good solvent the investigation of idealpolymer chains adsorption onto structured surface like as a chemical step(where one part of a surface is repulsive for polymers and other part is at theadsorption threshold) was performed. The two-point correlation function ofideal polymer chain in the half - space bounded by structured surface withdifferent adsorption energies $c_{1}$ and $c_{2}$ (with $c_{1}\neq c_{2}$) andthe "closest form" for the free propagator of the model were obtained inanalytical form. Besides, the force which ideal polymer chain with free endexerts on the structured surface, when the other end is fixed at the surface,was calculated. The obtained results indicate that the process of homopolymeradsorption onto structured surfaces should be described by different scalinglaws than universal scaling laws predicted in the literature for homopolymeradsorption on homogeneous surfaces.