Manning condensation in two dimensions
Soft Condensed Matter
2009-11-11 v1 Statistical Mechanics
Abstract
We consider a macroion confined to a cylindrical cell and neutralized by oppositely charged counterions. Exact results are obtained for the two-dimensional version of this problem, in which ion-ion and ion-macroion interactions are logarithmic. In particular, the threshold for counterion condensation is found to be the same as predicted by mean-field theory. With further increase of the macroion charge, a series of single-ion condensation transitions takes place. Our analytical results are expected to be exact in the vicinity of these transitions and are in very good agreement with recent Monte-Carlo simulation data.
Keywords
Cite
@article{arxiv.cond-mat/0509126,
title = {Manning condensation in two dimensions},
author = {Yoram Burak and Henri Orland},
journal= {arXiv preprint arXiv:cond-mat/0509126},
year = {2009}
}
Comments
4 pages, 4 figures