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The Low Temperature Corrections to the Casimir Force Between a Sphere and a Plane

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Part of the Springer Proceedings in Physics book series (SPPHY,volume 137)

Abstract

We calculate the low temperature corrections to the free energy for a sphere in front of a plane. First, the scalar field obeying Dirichet or Neumann boundary conditions is considered. Second, the electromagnetic field is studied, the sphere being perfectly conducting and being a dielectric ball with both, constant permittivity and permittivity of the plasma model.

Keywords

  • Free Energy
  • Neumann Boundary Condition
  • Vacuum Energy
  • Plasma Model
  • Small Separation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. M. Bordag and I. Pirozhenko. Vacuum energy between a sphere and a plane at finite temperature. Phys.Rev.D, 81:085023, 2009.

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  2. Antoine Canaguier-Durand, Paulo A. Maia Neto, Astrid Lambrecht, and Serge Reynaud. Thermal Casimir Effect in the Plane-Sphere Geometry. Physical Review Letters, 104:040403, 2010.

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  3. Antoine Canaguier-Durand, Paulo A. Maia Neto, Astrid Lambrecht, and Serge Reynaud. Thermal casimir effect for drude metals in the plane-sphere geometry. arXiv:1005.4294v1 [quant-ph], May 2010.

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  4. Holger Gies and Alexej Weber. Geometry-Temperature Interplay in the Casimir Effect. Int. J. Mod. Phys., A25:2279–2292, 2010.

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  5. G. L. Klimchitskaya, U. Mohideen, and V. M. Mostepanenko. The Casimir force between real materials: Experiment and theory. Rev.Mod.Phys, 81:1827–1885, 2009.

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  6. Alexej Weber and Holger Gies. Geothermal Casimir phenomena for the sphereplate and cylinder-plate configurations. arXiv 1003.3420, 2010.

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Correspondence to Michael Bordag .

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© 2011 Springer-Verlag Berlin Heidelberg

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Bordag, M., Pirozhenko, I.G. (2011). The Low Temperature Corrections to the Casimir Force Between a Sphere and a Plane. In: Odintsov, S., Sáez-Gómez, D., Xambó-Descamps, S. (eds) Cosmology, Quantum Vacuum and Zeta Functions. Springer Proceedings in Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19760-4_4

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  • DOI: https://doi.org/10.1007/978-3-642-19760-4_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19759-8

  • Online ISBN: 978-3-642-19760-4

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