Location of the adsorption transition for polymers with excluded volume. Monte Carlo and enumeration results

Abstract

The temperature dependence of the limiting reduced free energy per step for self-avoiding walks on the cubic and face centred cubic lattices, interacting with a plane (square lattice) surface, is studied by exact enumeration and extrapolation techniques as well as by Monte Carlo methods. These data, together with the locations of the zeros of the partition, functions, are used to estimate the locations of the adsorption transitions.