Self-repelling fractional Brownian motion - a generalized Edwards model for chain polymers

TL;DR

This paper extends the Edwards model to fractional Brownian motion to better understand the conformations of chain molecules in solvents, focusing on the excluded volume effect on their end-to-end length.

Contribution

It introduces a generalized Edwards model using fractional Brownian motion to analyze polymer conformations considering the excluded volume effect.

Findings

Fractional Brownian motion models polymer chains more accurately.

Excluded volume significantly influences end-to-end length.

The model provides new insights into polymer behavior in solvents.

Abstract

We present an extension of the Edwards model for conformations of individual chain molecules in solvents in terms of fractional Brownian motion, and discuss the excluded volume effect on the end-to-end length of such trajectories or molecules.