Properties of Self-Avoiding Walks Not Constrained to Lattices

Abstract

A study of self‐avoiding walks not confined to a lattice was performed. By use of the method of direct enumeration, walks of 14 steps were generated. Two different models were studied. Configurational properties, such as the mean square end‐to‐end distance, the mean‐square radius of gyration, etc., plus hydrodynamic as well as phase transitionproperties were obtained. They are discussed in terms of the theories incorporating the excluded volume effect. Some of the results were applied to the DNA molecule.