Material dependence of Casimir forces: Gradient expansion beyond proximity
A widely used method for estimating Casimir interactions [H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)] between gently curved material surfaces at short distances is the proximity force approximation (PFA). While this approximation is asymptotically exact at vanishing separations, quant...
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| Format: | Article |
| Language: | en_US |
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American Institute of Physics (AIP)
2013
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| Online Access: | http://hdl.handle.net/1721.1/76612 https://orcid.org/0000-0002-1112-5912 |
| _version_ | 1811073890945859584 |
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| author | Bimonte, Giuseppe Emig, Thorsten Kardar, Mehran |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Bimonte, Giuseppe Emig, Thorsten Kardar, Mehran |
| author_sort | Bimonte, Giuseppe |
| collection | MIT |
| description | A widely used method for estimating Casimir interactions [H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)] between gently curved material surfaces at short distances is the proximity force approximation (PFA). While this approximation is asymptotically exact at vanishing separations, quantifying corrections to PFA has been notoriously difficult. Here, we use a derivative expansion to compute the leading curvature correction to PFA for metals (gold) at room temperature. We derive an explicit expression for the amplitude math[subscript 1] of the PFA correction to the force gradient for axially symmetric surfaces. In the non-retarded limit, the corrections to the Casimir free energy are found to scale logarithmically with distance. For gold, math[subscript 1] has an unusually large temperature dependence. |
| first_indexed | 2024-09-23T09:39:46Z |
| format | Article |
| id | mit-1721.1/76612 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:39:46Z |
| publishDate | 2013 |
| publisher | American Institute of Physics (AIP) |
| record_format | dspace |
| spelling | mit-1721.1/766122022-09-30T16:00:06Z Material dependence of Casimir forces: Gradient expansion beyond proximity Bimonte, Giuseppe Emig, Thorsten Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Kardar, Mehran A widely used method for estimating Casimir interactions [H. B. G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)] between gently curved material surfaces at short distances is the proximity force approximation (PFA). While this approximation is asymptotically exact at vanishing separations, quantifying corrections to PFA has been notoriously difficult. Here, we use a derivative expansion to compute the leading curvature correction to PFA for metals (gold) at room temperature. We derive an explicit expression for the amplitude math[subscript 1] of the PFA correction to the force gradient for axially symmetric surfaces. In the non-retarded limit, the corrections to the Casimir free energy are found to scale logarithmically with distance. For gold, math[subscript 1] has an unusually large temperature dependence. National Science Foundation (U.S.) (Grant DMR- 08-03315) 2013-01-25T19:19:16Z 2013-01-25T19:19:16Z 2012-02 2011-12 Article http://purl.org/eprint/type/JournalArticle 0003-6951 1077-3118 http://hdl.handle.net/1721.1/76612 Bimonte, Giuseppe, Thorsten Emig, and Mehran Kardar. “Material Dependence of Casimir Forces: Gradient Expansion Beyond Proximity.” Applied Physics Letters 100.7 (2012): 074110. https://orcid.org/0000-0002-1112-5912 en_US http://dx.doi.org/10.1063/1.3686903 Applied Physics Letters Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf American Institute of Physics (AIP) arXiv |
| spellingShingle | Bimonte, Giuseppe Emig, Thorsten Kardar, Mehran Material dependence of Casimir forces: Gradient expansion beyond proximity |
| title | Material dependence of Casimir forces: Gradient expansion beyond proximity |
| title_full | Material dependence of Casimir forces: Gradient expansion beyond proximity |
| title_fullStr | Material dependence of Casimir forces: Gradient expansion beyond proximity |
| title_full_unstemmed | Material dependence of Casimir forces: Gradient expansion beyond proximity |
| title_short | Material dependence of Casimir forces: Gradient expansion beyond proximity |
| title_sort | material dependence of casimir forces gradient expansion beyond proximity |
| url | http://hdl.handle.net/1721.1/76612 https://orcid.org/0000-0002-1112-5912 |
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