Interplay of roughness/modulation and curvature for surface interactions at proximity
Employing the proximity approximation, we show that roughness or surface modulations change the distance dependence of (power-law) interactions between curved objects at proximity. The modified scaling law is simply related to the order of the first non-vanishing coefficient of the Taylor expansion...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | en_US |
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Institute of Physics Publishing
2014
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| Online Access: | http://hdl.handle.net/1721.1/88481 https://orcid.org/0000-0002-1112-5912 |
| _version_ | 1811083175854604288 |
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| author | Krueger, Matthias Helmut Guenter Golyk, Vladyslav A. Bimonte, Giuseppe Kardar, Mehran |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Krueger, Matthias Helmut Guenter Golyk, Vladyslav A. Bimonte, Giuseppe Kardar, Mehran |
| author_sort | Krueger, Matthias Helmut Guenter |
| collection | MIT |
| description | Employing the proximity approximation, we show that roughness or surface modulations change the distance dependence of (power-law) interactions between curved objects at proximity. The modified scaling law is simply related to the order of the first non-vanishing coefficient of the Taylor expansion of the distribution of separations between the surfaces. The latter can in principle be estimated by scanning measurements, or computed for well characterized modulations, and then used to predict short-distance scaling behavior in disparate experiments. For example, we predict that the radiative heat transfer between a rough sphere and a plate approaches a constant with decreasing separation. Similar saturation is expected for the Casimir force between dielectric or metallic surfaces with appropriate modulations over distinct length scales. |
| first_indexed | 2024-09-23T12:26:52Z |
| format | Article |
| id | mit-1721.1/88481 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:26:52Z |
| publishDate | 2014 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | mit-1721.1/884812022-10-01T09:10:38Z Interplay of roughness/modulation and curvature for surface interactions at proximity Krueger, Matthias Helmut Guenter Golyk, Vladyslav A. Bimonte, Giuseppe Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Krueger, Matthias Helmut Guenter Golyk, Vladyslav A. Kardar, Mehran Employing the proximity approximation, we show that roughness or surface modulations change the distance dependence of (power-law) interactions between curved objects at proximity. The modified scaling law is simply related to the order of the first non-vanishing coefficient of the Taylor expansion of the distribution of separations between the surfaces. The latter can in principle be estimated by scanning measurements, or computed for well characterized modulations, and then used to predict short-distance scaling behavior in disparate experiments. For example, we predict that the radiative heat transfer between a rough sphere and a plate approaches a constant with decreasing separation. Similar saturation is expected for the Casimir force between dielectric or metallic surfaces with appropriate modulations over distinct length scales. Deutsche Forschungsgemeinschaft (DFG grant No. KR 3844/2-1) National Science Foundation (U.S.) (NSF Grant No. DMR-12-06323) United States. Dept. of Energy (DOE grant No. DE-FG02-02ER45977) European Science Foundation (ESF Research Network CASIMIR) 2014-07-24T16:08:49Z 2014-07-24T16:08:49Z 2013-11 Article http://purl.org/eprint/type/JournalArticle 0295-5075 1286-4854 http://hdl.handle.net/1721.1/88481 Krüger, Matthias, Vladyslav A. Golyk, Giuseppe Bimonte, and Mehran Kardar. “Interplay of Roughness/modulation and Curvature for Surface Interactions at Proximity.” EPL (Europhysics Letters) 104, no. 4 (November 1, 2013): 41001. https://orcid.org/0000-0002-1112-5912 en_US http://dx.doi.org/10.1209/0295-5075/104/41001 EPL (Europhysics Letters) Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Physics Publishing arXiv |
| spellingShingle | Krueger, Matthias Helmut Guenter Golyk, Vladyslav A. Bimonte, Giuseppe Kardar, Mehran Interplay of roughness/modulation and curvature for surface interactions at proximity |
| title | Interplay of roughness/modulation and curvature for surface interactions at proximity |
| title_full | Interplay of roughness/modulation and curvature for surface interactions at proximity |
| title_fullStr | Interplay of roughness/modulation and curvature for surface interactions at proximity |
| title_full_unstemmed | Interplay of roughness/modulation and curvature for surface interactions at proximity |
| title_short | Interplay of roughness/modulation and curvature for surface interactions at proximity |
| title_sort | interplay of roughness modulation and curvature for surface interactions at proximity |
| url | http://hdl.handle.net/1721.1/88481 https://orcid.org/0000-0002-1112-5912 |
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