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arXiv · 1309.4401

Electrostatic Interaction due to Patch Potentials on Smooth Conducting Surfaces

C. D. Fosco·F. C. Lombardo·F. D. Mazzitelli
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Abstract

We evaluate the electrostatic interaction energy between two surfaces, one flat and the other slightly curved, in terms of the two-point autocorrelation functions for patch potentials on each one of them, and of a single function $ψ$ which defines the curved surface. The resulting interaction energy, a functional of $ψ$, is evaluated up to the second order in a derivative expansion approach. We derive explicit formulae for the coefficients of that expansion as simple integrals involving the autocorrelation functions, and evaluate them for some relevant patch-potential profiles and geometries

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C. D. Fosco, F. C. Lombardo, F. D. Mazzitelli. 2013-11-14. Electrostatic Interaction due to Patch Potentials on Smooth Conducting Surfaces. https://doi.org/10.1103/physreva.88.062501

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