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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Main Authors: Krueger, Matthias Helmut Guenter, Emig, Thorsten, Bimonte, Giuseppe, Kardar, Mehran
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: IOP Publishing 2012
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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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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