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Surface crossover exponent for branched polymers in two dimensions

S L A de Queiroz
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Abstract

Transfer-matrix methods on finite-width strips with free boundary conditions are applied to lattice site animals, which provide a model for randomly branched polymers in a good solvent. By assigning a distinct fugacity to sites along the strip edges, critical properties at the special (adsorption) and ordinary transitions are assessed. The crossover exponent at the adsorption point is estimated as $ϕ= 0.505 \pm 0.015$, consistent with recent predictions that $ϕ= 1/2$ exactly for all space dimensionalities.

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S L A de Queiroz. 1995-09-27. Surface crossover exponent for branched polymers in two dimensions. https://doi.org/10.1088/0305-4470%2F28%2F22%2F008

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