Pinning and unbinding of ideal polymers from a wedge corner
Name
PhysRevE.96.062132.pdf
Size
580 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Levi, Raz Halifa
Kantor, Yacov
Kardar, Mehran
Date Issued
December 2017
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.96.062132
