| Issue |
Europhys. Lett.
Volume 40, Number 5, December I 1997
|
|
|---|---|---|
| Page(s) | 485 - 490 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i1997-00492-x | |
| Published online | 01 September 2002 | |
The scaling behaviour of screened polyelectrolytes
Max-Planck-Institut für Polymerforschung,
Postfach 3148, D-55021 Mainz, Germany
Corresponding authors: liverpoo@mpip-mainz.mpg.de stapper@mpip-mainz.mpg.de
Received:
1
July
1997
Accepted:
20
October
1997
We present a field-theoretic renormalization group (RG) analysis of a single
flexible, screened polyelectrolyte chain (a Debye-Hückel chain) in a polar
solvent. We point out that the Debye-Hückel chain may be mapped onto a
local field theory which has the same fixed point as a generalised
Potts model. Systematic analysis of the field theory shows
that the system is one with two interplaying length scales requiring
the calculation of scaling functions as well as exponents to fully
describe its physical behaviour. To illustrate this, we solve the RG
equation and explicitly calculate the exponents and the mean end-to-end
length of the chain.
PACS: 05.20.-y – Statistical mechanics / 36.20.-r – Macromolecules and polymer molecules / 64.60.-i – General studies of phase transitions
© EDP Sciences, 1997
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