Branched polymers interacting with an impenetrable wall can be modeled by lattice trees confined to a half space with a fugacity κ conjugate to the number of visits the tree makes in the wall. We adapt a cut-and-paste algorithm for lattice trees with an umbrella-style implementation to sample trees interacting with an impenetrable wall over a wide range of values for κ. We report results about the thermodynamic and metric properties of the trees, and estimate the location of the adsorption transition ${\kappa }_c^{+}$ and crossover exponent φ.

• Received 8 February 2001

DOI:https://doi.org/10.1103/PhysRevE.64.046101