Volume 49, Number 4, February II 2000
|431 - 437
|Atomic and molecular physics
|01 September 2002
The shape of polymer-decorated membranes
Max-Planck-Institut für Kolloid- und
Am Mühlenberg, 14476 Golm, Germany
Accepted: 2 December 1999
Flexible membranes with anchored polymers are studied using both analytical methods and Monte Carlo simulations. The anchored polymers exert an entropically induced pressure on the membrane which is calculated explicitly using a small-gradient expansion. Likewise, we are able to determine both the shape profile of the membrane, which approaches a cone-like shape close to the anchor and a catenoid far away from it, and the profile of the induced mean curvature. We also consider membranes decorated by many polymers and identify two coverage regimes; one of which is governed by polymer/membrane and the other by polymer/polymer interactions.
PACS: 36.20.-r – Macromolecules and polymer molecules / 05.40.-a – Fluctuation phenomena, random processes, noise and Brownian motion / 82.70.-y – Disperse systems
© EDP Sciences, 2000
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