Entropic force of polymers on a cone tip
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Author(s) • •
Faghfoor Maghrebi, Mohammad
Kantor, Yacov
Kardar, Mehran
Date Issued
December 2011
Journal
Europhysics Letters
Publisher
IOP Publishing
Citation
Maghrebi, Mohammad F., Yacov Kantor, and Mehran Kardar. “Entropic Force of Polymers on a Cone Tip.” EPL (Europhysics Letters) 96.6 (2011): 66002.
Version
Author's final manuscript
Abstract
We consider polymers attached to the tip of a cone, and the resulting force due to entropy loss on approaching a plate (or another cone). At separations shorter than the polymer radius of gyration Rg, the only relevant length scale is the tip-plate (or tip-tip) separation h, and the entropic force is given by F=Ak[subscript B]T/h. The universal amplitude A can be related to (geometry dependent) correlation exponents of long polymers. We compute A for phantom polymers, and for self-avoiding (including star) polymers by epsilon-expansion, as well as by numerical simulations in 3 dimensions.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1209/0295-5075/96/66002