Surface crossover exponent for branched polymers in two dimensions

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 $\varphi =0.505\pm 0.015$, consistent with recent predictions that $\varphi =1/2$ exactly for all space dimensionalities.

10 pages, LaTeX with Institute of Physics macros, to appear in Journal of Physics A

References in corpus (2)

• Orientation of particle attachment and local isotropy in diffusion limited aggregation (DLA)
• On surface properties of two-dimensional percolation clusters

Cited by in corpus (1)

• Directed Branched Polymer near an Attractive Line