Surface crossover exponent for branched polymers in two dimensions

Abstract

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