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Geothermal Casimir phenomena for the sphere-plate and cylinder-plate configurations

Alexej Weber1,* and Holger Gies2,†

  • 1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany
  • 2Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität–Jena, Max-Wien-Platz 1, D-07743 Jena, Germany

  • *alexej.weber@lptms.u-psud.fr
  • †holger.gies@uni-jena.de
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Phys. Rev. D 82, 125019 – Published 13 December, 2010

DOI: https://doi.org/10.1103/PhysRevD.82.125019

Abstract

We investigate the nontrivial interplay between geometry and temperature in the Casimir effect for the sphere-plate and cylinder-plate configurations. At low temperature, the thermal contribution to the Casimir force is dominated by this interplay, implying that standard approximation techniques such as the proximity force approximation (PFA) are inapplicable even in the limit of small surface separation. Thermal fluctuations on scales of the thermal wavelength lead to a delocalization of the thermal force density at low temperatures. As a consequence, the temperature dependence strongly differs from naive expectations. Most prominently, thermal forces can develop nonmonotonic behavior below a critical temperature. We perform a comprehensive study of such geothermal phenomena in these Casimir geometries, using analytical and numerical worldline techniques for Dirichlet scalar fluctuations.

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Nonmonotonic Thermal Casimir Force from Geometry-Temperature Interplay

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Phys. Rev. Lett. 105, 040403 (2010)

Article Text

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Phys. Rev. D 82, 125019– Published 13 December, 2010
  • Received 16 September 2010

© 2010 The American Physical Society

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