Abstract

A series analysis method to estimate the critical point and exponents for adsorption of a polymer was tested using the non-reversal random walk model, for which analytical values are available. The values estimated from the exact enumeration data for up to 18 steps on the tetrahedral lattice are in good agreement with the expected ones for both cases having penetrable and impenetrable interface planes. The result suggests the possibility that for the self-avoiding walk model in penetrable case the estimate of crossover exponent φ is different between two methods; one uses the relation φ=1/q (q: the exponent for the free energy) and the other uses the scaling relation φ=θ−1 (θ: the exponent for the energy)

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