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Symmetry breaking and electrostatic attraction between two identical surfaces

Plouraboué, Franck and Chang, Hsueh-Chia Symmetry breaking and electrostatic attraction between two identical surfaces. (2009) Physical Review E, 79 (4). 041404(1)-041404(9). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.79.041404


By allowing the surface charge of one surface to affect the adsorption equilibrium of the other, we establish the existence of a long-range attractive interaction between two identical surfaces in an electrolyte containing polyvalent counterions with a mean-field Poisson-Boltzmann approach. A Stern electrostatic condition from linearization of the mass-action adsorption isotherm is used to capture how polyvalent ion condensation affects and reverses the surface charge. We furthermore establish a direct mapping between this Stern-layer condition and previously derived modified mean-field formulations associated with correlated fluctuations theory. For a sufficiently potential-sensitive isotherm, antisymmetric charge inversion can occur to produce an attractive force that increases with decreasing ionic strengths. Analyses of a mass-action isotherm produce force-separation relations, including an exponential far-field force decay distinct but consistent with previously proposed correlated fluctuation theories and in quantitative agreement with experimental data.

Item Type:Article
Additional Information:Thanks to American Physical Society editor. The definitive version is available at http://scitation.aip.org The original PDF of the article can be found at Physical Review E website : http://pre.aps.org
HAL Id:hal-03563433
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > University of Notre Dame - ND (USA)
Laboratory name:
Deposited On:25 Apr 2012 08:07

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