Non-equilibrium Casimir forces: Spheres and sphere-plate
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Author(s) • • •
Krueger, Matthias Helmut Guenter
Emig, Thorsten
Bimonte, Giuseppe
Kardar, Mehran
Date Issued
June 2011
Journal
Europhysics Letters
Publisher
IOP Publishing
Citation
Krüger, M. et al. “Non-equilibrium Casimir forces: Spheres and sphere-plate.” EPL (Europhysics Letters) 95.2 (2011): 21002.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1209/0295-5075/95/21002