Counterion Condensation and Fluctuation-Induced Attraction

Details Counterion Condensation and Fluctuation-Induced Attraction Counterion Condensation and Fluctuation-Induced Attraction

2002-09-29

arxiv.org/abs/cond-mat/0209659v1

Physics

Condensed Matter

Soft Condensed Matter

15 pages, 8 figures, to appear in PRE

Scientific paper

10.1103/PhysRevE.66.041501

We consider an overall neutral system consisting of two similarly charged plates and their oppositely charged counterions and analyze the electrostatic interaction between the two surfaces beyond the mean-field Poisson-Boltzmann approximation. Our physical picture is based on the fluctuation-driven counterion condensation model, in which a fraction of the counterions is allowed to ``condense'' onto the charged plates. In addition, an expression for the pressure is derived, which includes fluctuation contributions of the whole system. We find that for sufficiently high surface charges, the distance at which the attraction, arising from charge fluctuations, starts to dominate can be large compared to the Gouy-Chapmann length. We also demonstrate that depending on the valency, the system may exhibit a novel first-order binding transition at short distances.

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