Effect of concurrent geometry and roughness in interacting surfaces
We study the interaction energy between two surfaces, one of them flat, the other describable as the composition of a small-amplitude roughness and a slightly curved, smooth surface. The roughness, represented by a spatially random variable, involves Fourier wavelengths shorter than the (local) curv...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10502947_v91_n2_p_Fosco |
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todo:paper_10502947_v91_n2_p_Fosco2023-10-03T16:00:22Z Effect of concurrent geometry and roughness in interacting surfaces Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. Approximation scheme Casimir interactions Curvature radii Interaction energies Next-to-leading orders Roughness distributions Roughness models Small amplitude Surface roughness We study the interaction energy between two surfaces, one of them flat, the other describable as the composition of a small-amplitude roughness and a slightly curved, smooth surface. The roughness, represented by a spatially random variable, involves Fourier wavelengths shorter than the (local) curvature radii of the smooth component of the surface. After averaging the interaction energy over the roughness distribution, we obtain an expression which only depends on the smooth component. We then approximate that functional by means of a derivative expansion, calculating explicitly the leading- and next-to-leading-order terms in that approximation scheme. We analyze the resulting interplay between shape and roughness corrections for some specific roughness models in the cases of electrostatic and Casimir interactions. © 2015 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_v91_n2_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 |
Approximation scheme Casimir interactions Curvature radii Interaction energies Next-to-leading orders Roughness distributions Roughness models Small amplitude Surface roughness |
| spellingShingle |
Approximation scheme Casimir interactions Curvature radii Interaction energies Next-to-leading orders Roughness distributions Roughness models Small amplitude Surface roughness Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. Effect of concurrent geometry and roughness in interacting surfaces |
| topic_facet |
Approximation scheme Casimir interactions Curvature radii Interaction energies Next-to-leading orders Roughness distributions Roughness models Small amplitude Surface roughness |
| description |
We study the interaction energy between two surfaces, one of them flat, the other describable as the composition of a small-amplitude roughness and a slightly curved, smooth surface. The roughness, represented by a spatially random variable, involves Fourier wavelengths shorter than the (local) curvature radii of the smooth component of the surface. After averaging the interaction energy over the roughness distribution, we obtain an expression which only depends on the smooth component. We then approximate that functional by means of a derivative expansion, calculating explicitly the leading- and next-to-leading-order terms in that approximation scheme. We analyze the resulting interplay between shape and roughness corrections for some specific roughness models in the cases of electrostatic and Casimir interactions. © 2015 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 |
Effect of concurrent geometry and roughness in interacting surfaces |
| title_short |
Effect of concurrent geometry and roughness in interacting surfaces |
| title_full |
Effect of concurrent geometry and roughness in interacting surfaces |
| title_fullStr |
Effect of concurrent geometry and roughness in interacting surfaces |
| title_full_unstemmed |
Effect of concurrent geometry and roughness in interacting surfaces |
| title_sort |
effect of concurrent geometry and roughness in interacting surfaces |
| url |
http://hdl.handle.net/20.500.12110/paper_10502947_v91_n2_p_Fosco |
| work_keys_str_mv |
AT foscocd effectofconcurrentgeometryandroughnessininteractingsurfaces AT lombardofc effectofconcurrentgeometryandroughnessininteractingsurfaces AT mazzitellifd effectofconcurrentgeometryandroughnessininteractingsurfaces |
| _version_ |
1807316084607418368 |