Electrolyte Stability in a Nanochannel with Charge Regulation
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.
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This article is cited by 2 publications.
- Arik Yochelis . Spatial Structure of Electrical Diffuse Layers in Highly Concentrated Electrolytes: A Modified Poisson–Nernst–Planck Approach. The Journal of Physical Chemistry C 2014, 118
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- Doron Elad, Nir Gavish. Finite Domain Effects in Steady State Solutions of Poisson--Nernst--Planck Equations. SIAM Journal on Applied Mathematics 2019, 79
, 1030-1050. https://doi.org/10.1137/18M1185946