# Addition to Structure and dynamics of a polymer-nanoparticle composite: Effect of nanoparticle size and volume fraction

## TL;DR

This paper demonstrates that the normalized diffusion coefficient of nanoparticles in a polymer-nanoparticle composite collapses onto a master curve when plotted against the ratio of mean interparticle distance to nanoparticle radius, extending previous findings on polymer diffusion.

## Contribution

It introduces a new master curve for nanoparticle diffusion in polymer composites based on nanoparticle size and volume fraction, complementing earlier polymer diffusion results.

## Key findings

- Nanoparticle diffusion coefficient collapses on a master curve when plotted against h/R_h.
- Polymer diffusion coefficient follows a master curve as a function of h/λ_d.
- Extension of previous polymer diffusion results to nanoparticle diffusion.

## Abstract

In our previous publication (Ref. 1) we have shown that the data for the normalized diffusion coefficient of the polymers, $D_p/D_{p0}$, falls on a master curve when plotted as a function of $h/\lambda_d$, where $h$ is the mean interparticle distance and $\lambda_d$ is a dynamic length scale. In the present note we show that also the normalized diffusion coefficient of the nanoparticles, $D_N/D_{N0}$, collapses on a master curve when plotted as a function of $h/R_h$, where $R_h$ is the hydrodynamic radius of the nanoparticles.