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Pinning and unbinding of ideal polymers from a wedge corner

Author(s)
Levi, Raz Halifa; Kantor, Yacov; Kardar, Mehran
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Abstract
A polymer repelled by unfavorable interactions with a uniform flat surface may still be pinned to attractive edges and corners. This is demonstrated by considering adsorption of a two-dimensional ideal polymer to an attractive corner of a repulsive wedge. The well-known mapping between the statistical mechanics of an ideal polymer and the quantum problem of a particle in a potential is then used to analyze the singular behavior of the unbinding transition of the polymer. The divergence of the localization length is found to be governed by an exponent that varies continuously with the angle (when reflex). Numerical treatment of the discrete (lattice) version of such an adsorption problem confirms this behavior.
Date issued
2017-12
URI
http://hdl.handle.net/1721.1/112954
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review E
Publisher
American Physical Society
Citation
Levi, Raz Halifa et al. "Pinning and unbinding of ideal polymers from a wedge corner." Physical Review E 96, 6 (December 2017): 062132 © 2017 American Physical Society
Version: Final published version
ISSN
2470-0045
2470-0053

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