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Quantum Chemistry

Electrostatic Interaction due to Patch Potentials on Smooth Conducting Surfaces

arXiv
Authors: C. D. Fosco, F. C. Lombardo, F. D. Mazzitelli

Year

2013

Paper ID

32661

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

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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  • 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...

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