Inwardly curved polymer brushes : Concave is not like Convex

Details Inwardly curved polymer brushes : Concave is not like Convex Inwardly curved polymer brushes : Concave is not like Convex

2001-02-06

arxiv.org/abs/cond-mat/0102092v2

Eur. Phys. J. E 5, 519-530 (2001)

Physics

Condensed Matter

Soft Condensed Matter

Subm. to Eur. Phys. J. E., rev. version, 12 pages plus 9 figures, PACS : 36.20.Ey / 82.35.Gh / 82.70.-y. Figure 1 modified. In

Scientific paper

10.1007/s101890170035

Inwardly curved polymer brushes are present in cylindrical and spherical micelles or in membranes tubes and vesicles decorated with anchored polymers, and influence their stability. We consider such polymer brushes in good solvent and show that previous works, based on a self-similar concentric structure of the brush, are physically inconsistent. We use scaling laws to derive very simply the leading term of the free energy in the high curvature limit, where the osmotic pressure is the relevant physical ingredient. We also derive the complete conformation at all curvatures using a self-consistent field approach. The free energy is computed therefrom using a local scaling description.

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