Comments on the scaling behavior of flexible polyelectrolytes within the Debye-Huckel approximation
(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:
https://lup.lub.lu.se/record/122251
- author
- Ullner, Magnus LU
- organization
- publishing date
- 2003
- 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 (ACS)
- 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
- 2016-04-01 17:11:15
- date last changed
- 2022-01-29 01:00:52
@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 (ACS)}},
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}},
doi = {{10.1021/jp027381i}},
volume = {{107}},
year = {{2003}},
}