Abstract
The universal density–force relation is analyzed and the correspondent universal amplitude ratio B real is obtained using the massive field theory approach in fixed space dimensions d = 3 up to one-loop order. The layer monomer density profiles of ideal chains and real polymer chains with excluded volume interaction in a good solvent between two parallel repulsive walls, one inert and one repulsive wall and for the case of wall and a mesoscopic spherical particle of a big radius are obtained using the massive field theory approach up to one-loop order. The last mentioned situation is analyzed for both cases when wall and particle are repulsive and for the mixed case of repulsive wall and inert particle. Besides, the layer monomer density profiles of polymer chains with one end fixed at the surface and other free are analyzed near the repulsive and inert wall up to two-loop order. The obtained results are in qualitative agreement with previous theoretical investigations and with the results of Monte Carlo simulations.
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