English

Charge Fluctuations and Counterion Condensation

Soft Condensed Matter 2016-08-31 v1

Abstract

We predict a condensation phenomenon in an overall neutral system, consisting of a single charged plate and its oppositely charged counterions. Based on the ``two-fluid'' model, in which the counterions are divided into a ``free'' and a ``condensed'' fraction, we argue that for high surface charge, fluctuations can lead to a phase transition in which a large fraction of counterions is condensed. Furthermore, we show that depending on the valence, the condensation is either a first-order or a smooth transition.

Keywords

Cite

@article{arxiv.cond-mat/0202428,
  title  = {Charge Fluctuations and Counterion Condensation},
  author = {A. W. C. Lau and D. B. Lukatsky and P. Pincus and S. A. Safran},
  journal= {arXiv preprint arXiv:cond-mat/0202428},
  year   = {2016}
}

Comments

16 pages, 1 figure, accepted to be published in PRE

R2 v1 2026-07-22T10:34:27.841Z