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Colloidal interactions in thermal and athermal polymer solutions: The Derjaguin approximation, and exact results for mono- and polydisperse ideal chains

Forsman, Jan LU and Woodward, Clifford E. (2009) In Journal of Chemical Physics 131(4).
Abstract
Polymer density functional theory is used to test the accuracy of the Derjaguin approximation in describing the interaction between two spherical colloidal particles immersed in a polymer solution. The density functional equations are solved numerically in a cylindrical geometry and thus a rigorous comparison is afforded, within the density functional framework. The density functional theory provides an exact (albeit numerical) treatment for ideal polymers. We investigate both nonadsorbing and telechelic chains, as well as consider the behavior of widely polydisperse samples (living chains). We make comparisons with the commonly used penetrable sphere models for polymers and are able to identify strengths and weaknesses in the latter. We... (More)
Polymer density functional theory is used to test the accuracy of the Derjaguin approximation in describing the interaction between two spherical colloidal particles immersed in a polymer solution. The density functional equations are solved numerically in a cylindrical geometry and thus a rigorous comparison is afforded, within the density functional framework. The density functional theory provides an exact (albeit numerical) treatment for ideal polymers. We investigate both nonadsorbing and telechelic chains, as well as consider the behavior of widely polydisperse samples (living chains). We make comparisons with the commonly used penetrable sphere models for polymers and are able to identify strengths and weaknesses in the latter. We find that the Derjaguin approximation performs surprisingly well, even for particle sizes that are comparable to the radius of gyration of the polymers. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
density functional theory, colloids, liquid theory, liquid structure, polymer solutions
in
Journal of Chemical Physics
volume
131
issue
4
publisher
American Institute of Physics
external identifiers
  • wos:000268613700086
  • scopus:68249126106
ISSN
0021-9606
DOI
10.1063/1.3179684
language
English
LU publication?
yes
id
87a11d9a-6e92-4fb0-b749-7f421301a26c (old id 1459943)
date added to LUP
2009-08-25 14:25:39
date last changed
2017-01-01 04:48:22
@article{87a11d9a-6e92-4fb0-b749-7f421301a26c,
  abstract     = {Polymer density functional theory is used to test the accuracy of the Derjaguin approximation in describing the interaction between two spherical colloidal particles immersed in a polymer solution. The density functional equations are solved numerically in a cylindrical geometry and thus a rigorous comparison is afforded, within the density functional framework. The density functional theory provides an exact (albeit numerical) treatment for ideal polymers. We investigate both nonadsorbing and telechelic chains, as well as consider the behavior of widely polydisperse samples (living chains). We make comparisons with the commonly used penetrable sphere models for polymers and are able to identify strengths and weaknesses in the latter. We find that the Derjaguin approximation performs surprisingly well, even for particle sizes that are comparable to the radius of gyration of the polymers.},
  articleno    = {044903},
  author       = {Forsman, Jan and Woodward, Clifford E.},
  issn         = {0021-9606},
  keyword      = {density functional theory,colloids,liquid theory,liquid structure,polymer solutions},
  language     = {eng},
  number       = {4},
  publisher    = {American Institute of Physics},
  series       = {Journal of Chemical Physics},
  title        = {Colloidal interactions in thermal and athermal polymer solutions: The Derjaguin approximation, and exact results for mono- and polydisperse ideal chains},
  url          = {http://dx.doi.org/10.1063/1.3179684},
  volume       = {131},
  year         = {2009},
}