Colloid-Induced Polymer Compression

TL;DR

This paper models a mixture of colloids and polymers, showing how colloid-induced compression of polymers affects phase separation, using a density-functional theory that accounts for polymer size variability and free energy.

Contribution

It introduces a model incorporating polymer compressibility and polydispersity in colloid-polymer mixtures, advancing understanding of phase behavior with a novel theoretical approach.

Findings

Polymer compression increases with colloid concentration.

Colloid-induced compression shifts the fluid demixing binodal.

Compression stabilizes the mixed phase at higher polymer densities.

Abstract

We consider a model mixture of hard colloidal spheres and non-adsorbing polymer chains in a theta solvent. The polymer component is modelled as a polydisperse mixture of effective spheres, mutually noninteracting but excluded from the colloids, with radii that are free to adjust to allow for colloid-induced compression. We investigate the bulk fluid demixing behaviour of this model system using a geometry-based density-functional theory that includes the polymer size polydispersity and configurational free energy, obtained from the exact radius-of-gyration distribution for an ideal (random-walk) chain. Free energies are computed by minimizing the free energy functional with respect to the polymer size distribution. With increasing colloid concentration and polymer-to-colloid size ratio, colloidal confinement is found to increasingly compress the polymers. Correspondingly, the demixing fluid binodal shifts, compared to the incompressible-polymer binodal, to higher polymer densities on the colloid-rich branch, stabilizing the mixed phase.