Is Kinetic Growth Walk equivalent to canonical Self Avoiding Walk?

TL;DR

This paper uses Monte Carlo simulations to demonstrate that Kinetic Growth Walks are not equivalent to canonical Self Avoiding Walks on square and triangular lattices.

Contribution

It provides the first direct comparison showing the fundamental differences between Kinetic Growth Walks and Self Avoiding Walks through computational experiments.

Findings

Kinetic Growth Walks differ from Self Avoiding Walks on both lattices.

Monte Carlo simulations reveal non-equivalence.

The study clarifies the distinct nature of these two models.

Abstract

We present a Monte Carlo study of Kinetic Growth Walk on square as well as triangular lattice to show that it is not equivalent to canonical Self Avoiding Walk.