Charge reversal and surface charge amplification in asymmetric valence restricted primitive model planar electric double layers in the modified Poisson-Boltzmann theory

The modified Poisson-Boltzmann theory of the restricted primitive model double layer is revisited and recast in a fresh, slightly broader perspective. Derivation of relevant equations follow the techniques utilized in the earlier MPB4 and MPB5 formulations and clarifies the relationship between th...

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Bibliographic Details
Date:2017
Main Authors: Bhuiyan, L.B., Outhwaite, C.W.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2017
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157015
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Charge reversal and surface charge amplification in asymmetric valence restricted primitive model planar electric double layers in the modified Poisson-Boltzmann theory / L.B. Bhuiyan, C.W. Outhwaite // Condensed Matter Physics. — 2017. — Т. 20, № 3. — С. 33801: 1–15. — Бібліогр.: 65 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The modified Poisson-Boltzmann theory of the restricted primitive model double layer is revisited and recast in a fresh, slightly broader perspective. Derivation of relevant equations follow the techniques utilized in the earlier MPB4 and MPB5 formulations and clarifies the relationship between these. The MPB4, MPB5, and a new formulation of the theory are employed in an analysis of the structure and charge reversal phenomenon in asymmetric 2:1/1:2 valence electrolytes. Furthermore, polarization induced surface charge amplification is studied in 3:1/1:3 systems. The results are compared to the corresponding Monte Carlo simulations. The theories are seen to predict the “exact” simulation data to varying degrees of accuracy ranging from qualitative to almost quantitative. The results from a new version of the theory are found to be of comparable accuracy as the MPB5 results in many situations. However, in some cases involving low electrolyte concentrations, theoretical artifacts in the form of un-physical “shoulders” in the singlet ionic distribution functions are observed.