Monomer concentration profile in the depletion region

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Abstract
We study by Monte Carlo simulation the monomer concentration profile of the dilute solution of linear chain polymers in the depletion region near an impenetrable but otherwise non-interacting wall. Only the case of a good solvent is treated here but we allow both for flexible and semi-flexible chains. Our results on the simple cubic lattice indicate a profile exponent of 5/3 in agreement with the scaling theories of Joanny et al. and of de Gennes. Moreover, the results for the semi-flexible case suggest that the simple blob picture proposed by Ausserré and coworkers is reasonably accurate if a modification is made in the offset of the effective location of the surface