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Bending of Membranes by Anchored Polymers

R. Lipowsky

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Polymers which are attached to a fluid membrane by a single anchor exhibit a dilute mushroom regime and a semi-dilute brush regime. Scaling arguments and explicit calculations for ideal polymers show that the membrane is bent by the anchored polymer: For smooth bends, an anchored mushroom with linear size Rpo induces a spontaneous curvature of order simeq TRpo, where T and κ are the temperature and the bending rigidity, respectively; for sharp cone-like bends, it induces a bending angle simeq T/2πκ. A brush with mean anchor separation ξan leads to a curvature of order simeq (Rpoan)2/ν T/κξan.


PACS

36.20.-r Macromolecules and polymer molecules

82.70.-y Disperse systems; complex fluids

Subjects

Soft matter, liquids and polymers

Atomic and molecular physics

Chemical physics and physical chemistry

Dates

Issue 4 (1 May 1995)

Received 14 February 1995



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