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Electrolyte Stability in a Nanochannel with Charge Regulation

Beaume, Cédric and Plouraboué, Franck and Bergeon, Alain and Knobloch, Edgar Electrolyte Stability in a Nanochannel with Charge Regulation. (2011) Langmuir, vol. 27 (n° 17). pp. 11187-11198. ISSN 0743-7463

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Official URL: http://dx.doi.org/10.1021/la2018488

Abstract

The stability of an electrolyte confined in one dimension between two solid surfaces is analyzed theoretically in the case where overlapping double layers produce nontrivial interactions. Within the Poisson Boltzmann Nernst Planck description of the electrostatic interaction and transport of electrical charges, the presence of Stern layers can enrich the set of possible solutions. Our analytical and numerical study of the stability properties of the trivial state of this system identified an instability to a new antisymmetric state. This state is stable for a range of gap widths that depends on the Debye and Stern lengths, but for smaller gap widths, where the Stern layers overlap, a second transition takes place and the stable nontrivial solution diverges. The origin of this divergence is explained and its properties analyzed using asymptotic techniques which are in good agreement with numerical results. The relevance of our results to confined electrolytes at nanometer scales is discussed in the context of energy storage in nanometric systems.

Item Type:Article
Additional Information:Thanks to American Chemical Society editor. The definitive version is available at http://pubs.acs.org The original PDF of the article can be found at Langmuir website : http://pubs.acs.org/journal/langd5
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
Other partners > University of California - UC Berkeley (USA)
Laboratory name:
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Deposited By: Franck PLOURABOUE

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