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Counterion condensation and fluctuation-induced attraction Export

Physical Review E, Vol. 66, No. 4. (Oct 2002), 041501.

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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 first-order binding transition at short distances.


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