Casimir entropy for a ball in front of a plane

M. Bordag and I. G. Pirozhenko
Phys. Rev. D 82, 125016 – Published 13 December 2010

Abstract

The violation of the third law of thermodynamics for metals described by the Drude model and for dielectrics with finite dc conductivity is one of the most interesting problems in the field of the Casimir effect. It manifests itself as a nonvanishing of the entropy for vanishing temperature. We review the relevant calculations for plane surfaces and calculate the corresponding contributions for a ball in front of a plane. In this geometry, these appear in much the same way as for parallel planes. We conclude that the violation of the 3rd law is not related to the infinite size of the planes.

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  • Received 13 October 2010

DOI:https://doi.org/10.1103/PhysRevD.82.125016

© 2010 The American Physical Society

Authors & Affiliations

M. Bordag*

  • Leipzig University, Institute for Theoretical Physics, 04109 Leipzig, Germany

I. G. Pirozhenko

  • Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research and Dubna International University Dubna 141 980, Russia

  • *bordag@itp.uni-leipzig.de
  • pirozhen@theor.jinr.ru

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Issue

Vol. 82, Iss. 12 — 15 December 2010

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