Abstract
Statistical thermodynamicproperties of surface interacting self‐avoiding walks confined to the diamond lattice have been obtained. The existence of a transition for the infinite chain is inferred from the behavior of the specific heat versus energy curves. It was found that the long‐range critical exponent α s in the partition for such a system goes to zero at a particular energy corresponding to the point where the mean‐square end‐to‐end distance and mean‐square radius of gyration display minima.