Phys. Rev. E 71, 056101 (2005) [8 pages]

Temperature dependence of the Casimir effect

Abstract

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I. Brevik^* and J. B. Aarseth^†
Department of Energy and Process Engineering, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

J. S. Høye^‡
Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

K. A. Milton^§
Oklahoma Center for High Energy Physics and Department of Physics and Astronomy, The University of Oklahoma, Norman, Oklahoma 73019, USA

Received 27 October 2004; published 3 May 2005

The temperature dependence of the Casimir force between a real metallic plate and a metallic sphere is analyzed on the basis of optical data concerning the dispersion relation of metals such as gold and copper. Realistic permittivities imply, together with basic thermodynamic considerations, that the transverse electric zero mode does not contribute. This results in observable differences from the conventional prediction, which does not take this physical requirement into account. The results are shown to be consistent with the third law of thermodynamics, as well as being not inconsistent with current experiments. However, the predicted temperature dependence should be detectable in future experiments. The inadequacies of approaches based on ad hoc assumptions, such as the plasma dispersion relation and the use of surface impedance without transverse momentum dependence, are discussed.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.71.056101

DOI:

10.1103/PhysRevE.71.056101

PACS:

05.30.−d, 11.10.Wx, 73.61.At, 77.22.Ch

^*Electronic address: iver.h.brevik@ntnu.no

^†Electronic address: jan.b.aarseth@ntnu.no

^‡Electronic address: johan.hoye@phys.ntnu.no

^§Electronic address: milton@nhn.ou.edu

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Phys. Rev. E 71, 056101 (2005) [8 pages]

Temperature dependence of the Casimir effect

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