The variation of the monomer density rgr; with distancezfrom an impenetrable and adsorbing wall is studied for polymer solutions with excluded volume interaction. Both the limits of weak and strong overlap between the polymer chains are considered. For comparison, solutions of ideal noninteracting chains and chains with an excluded volume interaction of the meanhyphen;field type are also discussed. The main emphasis is on a temperature region near the adsorption temperatureTabelow which a single long chain, fixed with one end close to the wall, condenses a finite fraction of its monomers to the wall. The relation to annhyphen;component field theory in a halfhyphen;space is used to show that in this temperature region rgr;(z) displays crossover scaling behavior involving two macroscopic lengths. The power law exponents for thezdependence in the various regions determined by the two lengths are obtained as well as the qualitative form of the whole profile rgr;(z) for various limits of interest.
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