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Exact evaluation of the depletion force between nanospheres in a polydisperse polymer fluid under Θ conditions.

Wang, Haiqiang; Woodward, Clifford E and Forsman, Jan LU (2014) In Journal of Chemical Physics 140(19).
Abstract
We analyze a system consisting of two spherical particles immersed in a polydispersed polymer solution under theta conditions. An exact theory is developed to describe the potential of mean force between the spheres for the case where the polymer molecular weight dispersity is described by the Schulz-Flory distribution. Exact results can be derived for the protein regime, where the sphere radius (Rs) is small compared to the average radius of gyration of the polymer (Rg). Numerical results are relatively easily obtained in the cases where the sphere radius is increased. We find that even when q = Rg/Rs⪆ 10, then the use of a monopole expansion for the polymer end-point distribution about the spheres is sufficient. For even larger spheres q... (More)
We analyze a system consisting of two spherical particles immersed in a polydispersed polymer solution under theta conditions. An exact theory is developed to describe the potential of mean force between the spheres for the case where the polymer molecular weight dispersity is described by the Schulz-Flory distribution. Exact results can be derived for the protein regime, where the sphere radius (Rs) is small compared to the average radius of gyration of the polymer (Rg). Numerical results are relatively easily obtained in the cases where the sphere radius is increased. We find that even when q = Rg/Rs⪆ 10, then the use of a monopole expansion for the polymer end-point distribution about the spheres is sufficient. For even larger spheres q ≈ 1, accuracy is maintained by including a dipolar correction. The implications of these findings on generating a full many-body effective interaction for a collection of N spheres imbedded in the polymer solution are discussed. (Less)
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organization
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type
Contribution to journal
publication status
published
subject
in
Journal of Chemical Physics
volume
140
issue
19
publisher
American Institute of Physics
external identifiers
  • pmid:24852559
  • wos:000336832700038
  • scopus:84901495954
ISSN
0021-9606
DOI
10.1063/1.4874977
language
English
LU publication?
yes
id
7d05da36-bd24-49f4-91e7-b8f038df2af7 (old id 4452752)
date added to LUP
2014-06-18 15:00:53
date last changed
2017-08-08 14:01:02
@article{7d05da36-bd24-49f4-91e7-b8f038df2af7,
  abstract     = {We analyze a system consisting of two spherical particles immersed in a polydispersed polymer solution under theta conditions. An exact theory is developed to describe the potential of mean force between the spheres for the case where the polymer molecular weight dispersity is described by the Schulz-Flory distribution. Exact results can be derived for the protein regime, where the sphere radius (Rs) is small compared to the average radius of gyration of the polymer (Rg). Numerical results are relatively easily obtained in the cases where the sphere radius is increased. We find that even when q = Rg/Rs⪆ 10, then the use of a monopole expansion for the polymer end-point distribution about the spheres is sufficient. For even larger spheres q ≈ 1, accuracy is maintained by including a dipolar correction. The implications of these findings on generating a full many-body effective interaction for a collection of N spheres imbedded in the polymer solution are discussed.},
  articleno    = {194903},
  author       = {Wang, Haiqiang and Woodward, Clifford E and Forsman, Jan},
  issn         = {0021-9606},
  language     = {eng},
  number       = {19},
  publisher    = {American Institute of Physics},
  series       = {Journal of Chemical Physics},
  title        = {Exact evaluation of the depletion force between nanospheres in a polydisperse polymer fluid under Θ conditions.},
  url          = {http://dx.doi.org/10.1063/1.4874977},
  volume       = {140},
  year         = {2014},
}