Flory-Huggins theory for athermal mixtures of hard spheres and larger flexible polymers

Details Flory-Huggins theory for athermal mixtures of hard spheres and larger flexible polymers Flory-Huggins theory for athermal mixtures of hard spheres and larger flexible polymers

2002-06-17

arxiv.org/abs/cond-mat/0206320v1

Physical Review E 66, 051401 (2002)

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 4 figures

Scientific paper

10.1103/PhysRevE.66.051401

A simple analytic theory for mixtures of hard spheres and larger polymers with excluded volume interactions is developed. The mixture is shown to exhibit extensive immiscibility. For large polymers with strong excluded volume interactions, the density of monomers at the critical point for demixing decreases as one over the square root of the length of the polymer, while the density of spheres tends to a constant. This is very different to the behaviour of mixtures of hard spheres and ideal polymers, these mixtures although even less miscible than those with polymers with excluded volume interactions, have a much higher polymer density at the critical point of demixing. The theory applies to the complete range of mixtures of spheres with flexible polymers, from those with strong excluded volume interactions to ideal polymers.

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