Eur. Phys. J. E 4, 33-43
Local entropic effects of polymers grafted to soft interfaces
T. Bickel1, C. Jeppesen2 and C.M. Marques1.1 L.D.F.C.-UMR 7506, 3 rue de l'Université, 67084 Strasbourg Cedex, France
2 Materials Research Laboratory, University of California, Santa Barbara, CA 93106, USA
(Received 20 April 2000)
Abstract
In this paper, we study the equilibrium properties of polymer chains end-tethered to a fluid
membrane. The loss of conformational entropy of the polymer results in an inhomogeneous pressure
field that we calculate for Gaussian chains. We estimate the effects of excluded volume through
a relation between pressure and concentration. Under the polymer pressure, a soft surface will
deform. We calculate the deformation profile for a fluid membrane and show that close to the grafting
point, this profile assumes a cone-like shape, independently of the boundary conditions.
Interactions between different polymers are also mediated by the membrane deformation. This
pair-additive potential is attractive for chains grafted on the same side of the membrane and
repulsive otherwise.
36.20.-r - Macromolecules and polymer molecules.
87.15.He - Dynamics and conformational changes.
87.16.Dg - Membranes, bilayers, and vesicles..
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2001