Continuum Theory of Electrostatic Correlations at Charged Surfaces
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deSouza_2020_JPCC_BSK_theory.pdf
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Accepted version
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Author(s) •
de Souza, J Pedro
Bazant, Martin Z
Date Issued
2020
Journal
Journal of Physical Chemistry C
Publisher
American Chemical Society (ACS)
Version
Author's final manuscript
Abstract
The standard model for diffuse charge phenomena in colloid science, electrokinetics, and biology is the Poisson-Boltzmann mean-field theory, which breaks down for multivalent ions and large surface charge densities because of electrostatic correlations. In this paper, we formulate a predictive continuum theory of correlated electrolytes based on two extensions of the Bazant-Storey-Kornyshev (BSK) framework: (i) a physical boundary condition enforcing continuity of the Maxwell stress at a charged interface, which upholds the contact theorem for dilute primitive-model electrolytes, and (ii) scaling relationships for the correlation length, for a one-component plasma at a charged plane and around a cylinder, as well as a dilute z:1 electrolyte screening a planar surface. In these cases, the theory accurately reproduces Monte Carlo simulation results from weak to strong coupling, and extensions are possible for more complex models of electrolytes and ionic liquids.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1021/ACS.JPCC.0C01261