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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10502947_v88_n6_p_Fosco |
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todo:paper_10502947_v88_n6_p_Fosco2023-10-03T16:00:18Z Electrostatic interaction due to patch potentials on smooth conducting surfaces Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. 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. |
| 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 |
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 |
| url |
http://hdl.handle.net/20.500.12110/paper_10502947_v88_n6_p_Fosco |
| work_keys_str_mv |
AT foscocd electrostaticinteractionduetopatchpotentialsonsmoothconductingsurfaces AT lombardofc electrostaticinteractionduetopatchpotentialsonsmoothconductingsurfaces AT mazzitellifd electrostaticinteractionduetopatchpotentialsonsmoothconductingsurfaces |
| _version_ |
1807324424945270784 |