Segment Distribution around the Center of Gravity of Ring Polymers: Extension of the Kramers Method

TL;DR

This paper derives the segment distribution around the center of gravity for ring polymers, showing it can be approximated by a Gaussian distribution, thus extending the Kramers method to ring polymers.

Contribution

It extends the Kramers method to ring polymers by deriving their segment distribution around the center of gravity.

Findings

Segment distribution can be approximated by Gaussian distribution.

Small differences observed between exact and Gaussian distributions.

Extension of Kramers method to ring polymers.

Abstract

The segment distribution around the center of gravity is derived for unperturbed ring polymers. We show that, although a small difference is observed, the exact distribution can be well approximated by the Gaussian probability distribution function.