Effects of rotational symmetry breaking in polymercoated nanopores
Abstract
The statistical theory of polymers tethered around the inner surface of a cylindrical channel has traditionally employed the assumption that the equilibrium density of the polymers is independent of the azimuthal coordinate. However, simulations have shown that this rotational symmetry can be broken when there are attractive interactions between the polymers. We investigate the phases that emerge in these circumstances, and we quantify the effect of the symmetry assumption on the phase behavior of the system. In the absence of this assumption, one can observe large differences in the equilibrium densities between the rotationally symmetric case and the nonrotationally symmetric case. A simple analytical model is developed that illustrates the driving thermodynamic forces responsible for this symmetry breaking. Our results have implications for the current understanding of the behavior of polymers in cylindrical nanopores.
 Authors:
 London Centre for Nanotechnology (LCN) and Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT (United Kingdom)
 Centre for Mathematics, Physics and Engineering in the Life Sciences and Experimental Biology, University College London, Gower Street, London WC1E 6BT (United Kingdom)
 Publication Date:
 OSTI Identifier:
 22416027
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Chemical Physics; Journal Volume: 142; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; COORDINATES; CYLINDRICAL CONFIGURATION; DENSITY; EQUILIBRIUM; POLYMERS; STATISTICAL MODELS; SURFACES; SYMMETRY BREAKING; THERMODYNAMICS
Citation Formats
Osmanović, D., Hoogenboom, B. W., Ford, I. J., KerrWinter, M., and Eccleston, R. C. Effects of rotational symmetry breaking in polymercoated nanopores. United States: N. p., 2015.
Web. doi:10.1063/1.4905719.
Osmanović, D., Hoogenboom, B. W., Ford, I. J., KerrWinter, M., & Eccleston, R. C. Effects of rotational symmetry breaking in polymercoated nanopores. United States. doi:10.1063/1.4905719.
Osmanović, D., Hoogenboom, B. W., Ford, I. J., KerrWinter, M., and Eccleston, R. C. 2015.
"Effects of rotational symmetry breaking in polymercoated nanopores". United States.
doi:10.1063/1.4905719.
@article{osti_22416027,
title = {Effects of rotational symmetry breaking in polymercoated nanopores},
author = {Osmanović, D. and Hoogenboom, B. W. and Ford, I. J. and KerrWinter, M. and Eccleston, R. C.},
abstractNote = {The statistical theory of polymers tethered around the inner surface of a cylindrical channel has traditionally employed the assumption that the equilibrium density of the polymers is independent of the azimuthal coordinate. However, simulations have shown that this rotational symmetry can be broken when there are attractive interactions between the polymers. We investigate the phases that emerge in these circumstances, and we quantify the effect of the symmetry assumption on the phase behavior of the system. In the absence of this assumption, one can observe large differences in the equilibrium densities between the rotationally symmetric case and the nonrotationally symmetric case. A simple analytical model is developed that illustrates the driving thermodynamic forces responsible for this symmetry breaking. Our results have implications for the current understanding of the behavior of polymers in cylindrical nanopores.},
doi = {10.1063/1.4905719},
journal = {Journal of Chemical Physics},
number = 3,
volume = 142,
place = {United States},
year = 2015,
month = 1
}

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