Monomer density profiles for polymer chains in confined geometries: Massive field theory approach

Taking into account the well known correspondence between the field theoretical φ4 O(n)-vector model in the limit n → 0 and the behavior of long flexible polymer chains in a good solvent, the universal density–force relation is analyzed and the corresponding universal amplitude ratio B real is obtained using the massive field theory approach in fixed space dimensions d < 4. The monomer density profiles of ideal chains and real polymer chains with excluded volume interaction in a good solvent between two parallel repulsive walls, one repulsive and one inert wall, are obtained in the framework of the massive field theory approach up to one-loop order. Besides, the monomer density profiles for the dilute polymer solution confined in semi-infinite space containing mesoscopic spherical particle of big radius are calculated. The obtained results are in qualitative agreement with previous theoretical investigations and with the results of Monte Carlo simulations.