Study of Self-Avoiding Walks with Excluded First Nearest Neighbors

Abstract

A study of the direct enumeration of self-avoiding walks on the tetrahedral and four choice cubic lattices with first nearest neighbors excluded is presented. Data is given for the mean square end-to-end distance, the mean square radius of gyration, the number of returns to the origin, the mean square radius of gyration of the rings, and probability calculations. The results are interpreted in light of the theories of excluded volume.