Adsorbing trees in two dimensions: a Monte Carlo study.
Branched polymers interacting with an impenetrable wall can be modeled by lattice trees confined to a half space with a fugacity kappa 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 kappa. 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 straight phi.
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Department of Physics and Astronomy, York University, Toronto, Ontario, Canada M3J 1P3.
Janse van Rensburg
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