Configurational properties of self-avoiding walks generated in the presence of an interacting solid barrier

Abstract

Self‐avoiding walks confined to the diamond lattice were generated in the presence of an interacting solid barrier by the method of exact enumeration. The behavior of some configurational properties such as the mean‐square end‐to‐end distance, average maximum normal to the surface distance of the chains, average number of adsorbed segments, etc., was investigated as a function of the interaction energy ε. All properties studied were found to obey a simple asymptotic expression of the form <P_N>≃N^γ, where P is a generalized configurational property and γ is a critical index. Some estimates of γ as a function of ε are reported.