Critical exponents and scaling functions of a self-avoiding walk interacting with a defect plane

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Abstract
We analyze the behavior of a single self-avoiding walk (single polymer in good solvent) in the presence of a penetrable (d−1) dimensional defect layer by the use of Monte Carlo simulations. The layer can be either neutral to the bonds or can be attractive or repulsive. We analyze the data by means of a scaling picture and show that there is an excellent agreement with the deGennes, Bray, and Moore conjecture φ=1−ν for the crossover exponent. This corrects a recent estimate of φ made by a series analysis of enumeration data of short chains.