Classical Casimir interaction in the plane-sphere geometry

Antoine Canaguier-Durand, Gert-Ludwig Ingold, Marc-Thierry Jaekel, Astrid Lambrecht, Paulo A. Maia Neto, and Serge Reynaud
Phys. Rev. A 85, 052501 – Published 1 May 2012

Abstract

We study the Casimir interaction in the plane-sphere geometry in the classical limit of high temperatures. In this limit, the finite conductivity of the metallic plates needs to be taken into account. For the Drude model, the classical Casimir interaction is nevertheless found to be independent of the conductivity so that it can be described by a single universal function depending only on the aspect ratio x=L/R, where L is the interplate distance and R is the sphere radius. This universal function differs from the one found for perfect reflectors and is in principle amenable to experimental tests. The asymptotic approach of the exact result to the proximity force approximation appears to be well fitted by polynomial expansions in lnx.

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  • Received 6 March 2012

DOI:https://doi.org/10.1103/PhysRevA.85.052501

©2012 American Physical Society

Authors & Affiliations

Antoine Canaguier-Durand1,*, Gert-Ludwig Ingold2, Marc-Thierry Jaekel3, Astrid Lambrecht1, Paulo A. Maia Neto4, and Serge Reynaud1

  • 1Laboratoire Kastler Brossel, ENS, UPMC, Centre National de la Recherche Scientifique, F-75252 Paris, France
  • 2Institut für Physik, Universität Augsburg, D-86135 Augsburg, Germany
  • 3Laboratoire de Physique Théorique, ENS, UPMC, Centre National de la Recherche Scientifique, F-75231 Paris, France
  • 4Instituto de Física, UFRJ, CP 68528, Rio de Janeiro RJ 21941-909, Brazil

  • *Present address: ISIS—Université de Strasbourg.

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Vol. 85, Iss. 5 — May 2012

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