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Phys. Rev. A 62, 012110 (2000) [8 pages]

Temperature dependence of the Casimir effect between metallic mirrors

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Cyriaque Genet, Astrid Lambrecht, and Serge Reynaud
Laboratoire Kastler Brossel, Unité de l’Ecole Normale Supérieure, de l’Université Pierre et Marie Curie, et du Centre National de la Recherche Scientifique, Campus Jussieu, case 74, 75252 Paris Cedex 05, France

Received 22 February 2000; published 15 June 2000

We calculate the Casimir force and free energy for plane metallic mirrors at nonzero temperature. Numerical evaluations are given with temperature and conductivity effects treated simultaneously. The results are compared with the approximation where both effects are treated independently and the corrections simply multiplied. The deviation between the exact and approximated results takes the form of a temperature dependent function for which an analytical expression is given. The knowledge of this function allows simple estimations that are accurate below the 1% level.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.62.012110
DOI:
10.1103/PhysRevA.62.012110
PACS:
12.20.Ds, 03.70.+k, 42.50.Lc