Abstract
The process of adsorption on a planar repulsive, 'marginal' and attractive wall of long flexible polymer chains with excluded volume interactions in the framework of the renormalization group field-theoretical approach, directly in d = 3 dimensions up to two-loop order, for the semi-infinite |ϕ|4 n-vector model in the limit n → 0 is investigated. We perform Padé and Padé–Borel resummation of the series obtained for the surface critical exponents, characterizing the process of adsorption of long flexible polymer chains at the surface. The polymer linear dimensions parallel and perpendicular to the surface and the corresponding partition functions, as well as the behaviour of the monomer density profiles and the fraction of adsorbed monomers at the surface and in the interior, are studied. The field-theoretical results obtained at fixed dimensions d = 3 are in good agreement with recent Monte Carlo calculations.