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Comments on the scaling behavior of flexible polyelectrolytes within the Debye-Huckel approximation

Ullner, Magnus LU (2003) In The Journal of Physical Chemistry Part B 107(32). p.8097-8110
Abstract
Over the years, there has been much debate regarding the conformational behavior of flexible polyelectrolytes with electrostatic interactions described by the D

bye-Huckel approximation. In particular, the electrostatic persistence length has been reported to depend both quadratically and linearly on the screening length as well as having no consistent power-law dependence at all. On the basis of simulation results together with a careful analysis of analytical approaches, including Odijk-Skolnick-Fixman (OSF) theory, variational calculations, and renormalization group results, it is possible to present a consistent picture, which contains a better understanding of the true behavior as well as an explanation for the diverse... (More)
Over the years, there has been much debate regarding the conformational behavior of flexible polyelectrolytes with electrostatic interactions described by the D

bye-Huckel approximation. In particular, the electrostatic persistence length has been reported to depend both quadratically and linearly on the screening length as well as having no consistent power-law dependence at all. On the basis of simulation results together with a careful analysis of analytical approaches, including Odijk-Skolnick-Fixman (OSF) theory, variational calculations, and renormalization group results, it is possible to present a consistent picture, which contains a better understanding of the true behavior as well as an explanation for the diverse results. The projection length of long chains can be described by power laws in three regimes, and an expression by Odijk is qualitatively correct in two of these regimes. Scaling arguments based on OSF theory and excluded volume considerations give good agreement with the third power law, but the underlying assumptions are not entirely correct. More than one parameter is required to describe the internal chain behavior, which is characterized b

short-range flexibility and long-range stiffness. Still, most analytical

approaches end up in one of two one-parameter approximations, either an

OSF-like perturbation expansion around a rigid-rod state or a

Flory-type variational calculation based on an unperturbed chain. The

latter describes at best the short-range behavior. A field-theoretic

renormalization group treatment, which has suggested that there should

be no power law behavior, is not valid in three dimensions. Previous

support from simulation results were obtained through an unfortunate

mistake. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
The Journal of Physical Chemistry Part B
volume
107
issue
32
pages
8097 - 8110
publisher
The American Chemical Society
external identifiers
  • wos:000184665000017
  • scopus:0042388622
ISSN
1520-5207
DOI
10.1021/jp027381i
language
English
LU publication?
yes
id
a20633d0-1a28-4d44-9cbc-d6f46fb46640 (old id 122251)
date added to LUP
2007-07-12 13:29:08
date last changed
2017-07-02 04:31:04
@article{a20633d0-1a28-4d44-9cbc-d6f46fb46640,
  abstract     = {Over the years, there has been much debate regarding the conformational behavior of flexible polyelectrolytes with electrostatic interactions described by the D<br/><br>
bye-Huckel approximation. In particular, the electrostatic persistence length has been reported to depend both quadratically and linearly on the screening length as well as having no consistent power-law dependence at all. On the basis of simulation results together with a careful analysis of analytical approaches, including Odijk-Skolnick-Fixman (OSF) theory, variational calculations, and renormalization group results, it is possible to present a consistent picture, which contains a better understanding of the true behavior as well as an explanation for the diverse results. The projection length of long chains can be described by power laws in three regimes, and an expression by Odijk is qualitatively correct in two of these regimes. Scaling arguments based on OSF theory and excluded volume considerations give good agreement with the third power law, but the underlying assumptions are not entirely correct. More than one parameter is required to describe the internal chain behavior, which is characterized b<br/><br>
 short-range flexibility and long-range stiffness. Still, most analytical<br/><br>
	approaches end up in one of two one-parameter approximations, either an<br/><br>
	OSF-like perturbation expansion around a rigid-rod state or a<br/><br>
	Flory-type variational calculation based on an unperturbed chain. The<br/><br>
	latter describes at best the short-range behavior. A field-theoretic<br/><br>
	renormalization group treatment, which has suggested that there should<br/><br>
	be no power law behavior, is not valid in three dimensions. Previous<br/><br>
	support from simulation results were obtained through an unfortunate<br/><br>
	mistake.},
  author       = {Ullner, Magnus},
  issn         = {1520-5207},
  language     = {eng},
  number       = {32},
  pages        = {8097--8110},
  publisher    = {The American Chemical Society},
  series       = {The Journal of Physical Chemistry Part B},
  title        = {Comments on the scaling behavior of flexible polyelectrolytes within the Debye-Huckel approximation},
  url          = {http://dx.doi.org/10.1021/jp027381i},
  volume       = {107},
  year         = {2003},
}