Non-equilibrium Casimir forces: Spheres and sphere-plate
We discuss non-equilibrium extensions of the Casimir force (due to electromagnetic fluctuations), where the objects as well as the environment are held at different temperatures. While the formalism we develop is quite general, we focus on a sphere in front of a plate, as well as two spheres, when t...
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IOP Publishing
2012
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Online Access: | http://hdl.handle.net/1721.1/71269 https://orcid.org/0000-0002-1112-5912 |
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author | Krueger, Matthias Helmut Guenter Emig, Thorsten 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 Emig, Thorsten Bimonte, Giuseppe Kardar, Mehran |
author_sort | Krueger, Matthias Helmut Guenter |
collection | MIT |
description | We discuss non-equilibrium extensions of the Casimir force (due to electromagnetic fluctuations), where the objects as well as the environment are held at different temperatures. While the formalism we develop is quite general, we focus on a sphere in front of a plate, as well as two spheres, when the radius is small compared to separation and thermal wavelengths. In this limit the forces can be expressed analytically in terms of the lowest-order multipoles, and corroborated with results obtained by diluting parallel plates of vanishing thickness. Non-equilibrium forces are generally stronger than their equilibrium counterpart, and may oscillate with separation (at a scale set by material resonances). For both geometries we obtain stable points of zero net force, while two spheres may have equal forces in magnitude and direction resulting in a self-propelling state. |
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format | Article |
id | mit-1721.1/71269 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T15:38:09Z |
publishDate | 2012 |
publisher | IOP Publishing |
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spelling | mit-1721.1/712692022-09-29T15:09:07Z Non-equilibrium Casimir forces: Spheres and sphere-plate Krueger, Matthias Helmut Guenter Emig, Thorsten Bimonte, Giuseppe Kardar, Mehran Massachusetts Institute of Technology. Department of Physics Kardar, Mehran Krueger, Matthias Helmut Guenter Kardar, Mehran Emig, Thorsten We discuss non-equilibrium extensions of the Casimir force (due to electromagnetic fluctuations), where the objects as well as the environment are held at different temperatures. While the formalism we develop is quite general, we focus on a sphere in front of a plate, as well as two spheres, when the radius is small compared to separation and thermal wavelengths. In this limit the forces can be expressed analytically in terms of the lowest-order multipoles, and corroborated with results obtained by diluting parallel plates of vanishing thickness. Non-equilibrium forces are generally stronger than their equilibrium counterpart, and may oscillate with separation (at a scale set by material resonances). For both geometries we obtain stable points of zero net force, while two spheres may have equal forces in magnitude and direction resulting in a self-propelling state. 2012-06-29T17:42:47Z 2012-06-29T17:42:47Z 2011-06 2011-05 Article http://purl.org/eprint/type/JournalArticle 0295-5075 http://hdl.handle.net/1721.1/71269 Krüger, M. et al. “Non-equilibrium Casimir forces: Spheres and sphere-plate.” EPL (Europhysics Letters) 95.2 (2011): 21002. https://orcid.org/0000-0002-1112-5912 en_US http://dx.doi.org/10.1209/0295-5075/95/21002 Europhysics Letters Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf IOP Publishing Prof. Kardar via Mat Willmott |
spellingShingle | Krueger, Matthias Helmut Guenter Emig, Thorsten Bimonte, Giuseppe Kardar, Mehran Non-equilibrium Casimir forces: Spheres and sphere-plate |
title | Non-equilibrium Casimir forces: Spheres and sphere-plate |
title_full | Non-equilibrium Casimir forces: Spheres and sphere-plate |
title_fullStr | Non-equilibrium Casimir forces: Spheres and sphere-plate |
title_full_unstemmed | Non-equilibrium Casimir forces: Spheres and sphere-plate |
title_short | Non-equilibrium Casimir forces: Spheres and sphere-plate |
title_sort | non equilibrium casimir forces spheres and sphere plate |
url | http://hdl.handle.net/1721.1/71269 https://orcid.org/0000-0002-1112-5912 |
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