An improved proximity force approximation for electrostatics

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A quite straightforward approximation for the electrostatic interaction between two perfectly conducting surfaces suggests itself when the distance between them is much smaller than the characteristic lengths associated with their shapes. Indeed, in the so called "proximity force approximation&...

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Autores principales:	Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D.
Formato:	JOUR
Materias:	Casimir effect Electrostatics Proximity forces
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00034916_v327_n8_p2050_Fosco
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00034916_v327_n8_p2050_Fosco
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spelling	todo:paper_00034916_v327_n8_p2050_Fosco2023-10-03T13:56:25Z An improved proximity force approximation for electrostatics Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. Casimir effect Electrostatics Proximity forces A quite straightforward approximation for the electrostatic interaction between two perfectly conducting surfaces suggests itself when the distance between them is much smaller than the characteristic lengths associated with their shapes. Indeed, in the so called "proximity force approximation" the electrostatic force is evaluated by first dividing each surface into a set of small flat patches, and then adding up the forces due two opposite pairs, the contributions of which are approximated as due to pairs of parallel planes. This approximation has been widely and successfully applied in different contexts, ranging from nuclear physics to Casimir effect calculations. We present here an improvement on this approximation, based on a derivative expansion for the electrostatic energy contained between the surfaces. The results obtained could be useful for discussing the geometric dependence of the electrostatic force, and also as a convenient benchmark for numerical analyses of the tip-sample electrostatic interaction in atomic force microscopes. © 2012 Elsevier Inc. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00034916_v327_n8_p2050_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	Casimir effect Electrostatics Proximity forces
spellingShingle	Casimir effect Electrostatics Proximity forces Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. An improved proximity force approximation for electrostatics
topic_facet	Casimir effect Electrostatics Proximity forces
description	A quite straightforward approximation for the electrostatic interaction between two perfectly conducting surfaces suggests itself when the distance between them is much smaller than the characteristic lengths associated with their shapes. Indeed, in the so called "proximity force approximation" the electrostatic force is evaluated by first dividing each surface into a set of small flat patches, and then adding up the forces due two opposite pairs, the contributions of which are approximated as due to pairs of parallel planes. This approximation has been widely and successfully applied in different contexts, ranging from nuclear physics to Casimir effect calculations. We present here an improvement on this approximation, based on a derivative expansion for the electrostatic energy contained between the surfaces. The results obtained could be useful for discussing the geometric dependence of the electrostatic force, and also as a convenient benchmark for numerical analyses of the tip-sample electrostatic interaction in atomic force microscopes. © 2012 Elsevier Inc.
format	JOUR
author	Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D.
author_facet	Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D.
author_sort	Fosco, C.D.
title	An improved proximity force approximation for electrostatics
title_short	An improved proximity force approximation for electrostatics
title_full	An improved proximity force approximation for electrostatics
title_fullStr	An improved proximity force approximation for electrostatics
title_full_unstemmed	An improved proximity force approximation for electrostatics
title_sort	improved proximity force approximation for electrostatics
url	http://hdl.handle.net/20.500.12110/paper_00034916_v327_n8_p2050_Fosco
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_version_	1807322444466225152

An improved proximity force approximation for electrostatics

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