Local dielectric permittivity near an interface
V. Ballenegger, J.-P. Hansen
TL;DR
This paper derives a statistical mechanics expression for the local dielectric permittivity near an interface, analyzing its asymptotic behavior and confirming macroscopic electrostatics predictions for ion interactions at large separations.
Contribution
It introduces a new statistical mechanics framework for calculating space-dependent dielectric permittivity near interfaces, extending understanding of electrostatic interactions in polar solvents.
Findings
Local permittivity is derived and its asymptotic behavior analyzed.
Potential of mean force between ions matches macroscopic electrostatics predictions.
Results are applicable in low-density polar solvent regimes.
Abstract
A statistical mechanics expression is derived for the space-dependent dielectric permittivity of a polar solvent near an interface. The asymptotic behaviour of this local permittivity is calculated in the low density limit, near a planar interface. The potential of mean force between two ions is shown to agree with the prediction of macroscopic electrostatics for large separations parallel to the interface.
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