Onsager model for a variable dielectric permittivity near an interface

TL;DR

This paper develops a semi-analytical model based on Onsager theory to predict how dielectric permittivity varies near an interface in an inhomogeneous dipolar fluid, providing insights into local dielectric behavior.

Contribution

It introduces a generalized Onsager approach with bispherical coordinates to derive a local permittivity profile near dielectric interfaces.

Findings

Derived an asymptotic expression for local permittivity as a function of distance from the interface.

Predicted dielectric permittivity profiles in inhomogeneous dipolar fluids near interfaces.

Provided semi-analytical calculations for reaction and cavity fields.

Abstract

Using a generalisation of an Onsager type approach, we are able to predict a dielectric permittivity profile of an inhomogeneous dipolar fluid in the presence of a dielectric interface. The reaction and cavity fields are calculated semi-analytically using bispherical coordinates. An asymptotic expression for the local permittivity is derived as a function of distance from the interface.