Electrostatic interaction due to patch potentials on smooth conducting surfaces

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,...

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Detalles Bibliográficos
Autores principales:	Lombardo, Fernando César, Mazzitelli, Francisco Diego
Publicado:	2013
Materias:	Autocorrelation functions Conducting surfaces Curved surfaces Electrostatic interaction energy Explicit formula Interaction energies Second orders Two-point Mathematical models Physics Electrostatic separators
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v88_n6_p_Fosco http://hdl.handle.net/20.500.12110/paper_10502947_v88_n6_p_Fosco
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10502947_v88_n6_p_Fosco
record_format	dspace
spelling	paper:paper_10502947_v88_n6_p_Fosco2023-06-08T16:02:46Z Electrostatic interaction due to patch potentials on smooth conducting surfaces Lombardo, Fernando César Mazzitelli, Francisco Diego Autocorrelation functions Conducting surfaces Curved surfaces Electrostatic interaction energy Explicit formula Interaction energies Second orders Two-point Mathematical models Physics Electrostatic separators 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 formulas for the coefficients of that expansion as simple integrals involving the autocorrelation functions, and evaluate them for some relevant patch-potential profiles and geometries. © 2013 American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v88_n6_p_Fosco http://hdl.handle.net/20.500.12110/paper_10502947_v88_n6_p_Fosco
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Autocorrelation functions Conducting surfaces Curved surfaces Electrostatic interaction energy Explicit formula Interaction energies Second orders Two-point Mathematical models Physics Electrostatic separators
spellingShingle	Autocorrelation functions Conducting surfaces Curved surfaces Electrostatic interaction energy Explicit formula Interaction energies Second orders Two-point Mathematical models Physics Electrostatic separators Lombardo, Fernando César Mazzitelli, Francisco Diego Electrostatic interaction due to patch potentials on smooth conducting surfaces
topic_facet	Autocorrelation functions Conducting surfaces Curved surfaces Electrostatic interaction energy Explicit formula Interaction energies Second orders Two-point Mathematical models Physics Electrostatic separators
description	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 formulas for the coefficients of that expansion as simple integrals involving the autocorrelation functions, and evaluate them for some relevant patch-potential profiles and geometries. © 2013 American Physical Society.
author	Lombardo, Fernando César Mazzitelli, Francisco Diego
author_facet	Lombardo, Fernando César Mazzitelli, Francisco Diego
author_sort	Lombardo, Fernando César
title	Electrostatic interaction due to patch potentials on smooth conducting surfaces
title_short	Electrostatic interaction due to patch potentials on smooth conducting surfaces
title_full	Electrostatic interaction due to patch potentials on smooth conducting surfaces
title_fullStr	Electrostatic interaction due to patch potentials on smooth conducting surfaces
title_full_unstemmed	Electrostatic interaction due to patch potentials on smooth conducting surfaces
title_sort	electrostatic interaction due to patch potentials on smooth conducting surfaces
publishDate	2013
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v88_n6_p_Fosco http://hdl.handle.net/20.500.12110/paper_10502947_v88_n6_p_Fosco
work_keys_str_mv	AT lombardofernandocesar electrostaticinteractionduetopatchpotentialsonsmoothconductingsurfaces AT mazzitellifranciscodiego electrostaticinteractionduetopatchpotentialsonsmoothconductingsurfaces
_version_	1768546312349810688

Electrostatic interaction due to patch potentials on smooth conducting surfaces

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