Scattering function for a self-avoiding polymer chain

TL;DR

This paper derives an explicit scattering function for self-avoiding polymer chains in arbitrary dimensions, analyzing how segment interactions influence chain shape and size, with validation against experimental data and simulations.

Contribution

It provides a new explicit expression for the scattering function of self-avoiding polymers, incorporating interaction effects and validated through experiments and simulations.

Findings

Derived explicit scattering function for self-avoiding chains

Interaction strength affects chain shape and size

Good agreement with experimental data and simulations

Abstract

An explicit expression is derived for the scattering function of a self-avoiding polymer chain in a $d$-dimensional space. The effect of strength of segment interactions on the shape of the scattering function and the radius of gyration of the chain is studied numerically. Good agreement is demonstrated between experimental data on dilute solutions of several polymers and results of numerical simulation.