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Title: Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models

Abstract

We calculate the Casimir interaction between a sphere and a plate, both described by the plasma model, the Drude model, or generalizations of the two models. We compare the results at both zero and finite temperatures. At asymptotically large separations we obtain analytical results for the interaction that reveal a nonuniversal, i.e., material-dependent interaction for the plasma model. The latter result contains the asymptotic interaction for Drude metals and perfect reflectors as different but universal limiting cases. This observation is related to the screening of a static magnetic field by a London superconductor. For small separations we find corrections to the proximity force approximation that support correlations between geometry and material properties that are not captured by the Lifshitz theory. Our results at finite temperatures reveal for Drude metals a nonmonotonic temperature dependence of the Casimir free energy and a negative entropy over a sizeable range of separations.

Authors:
;  [1];  [2]
  1. Department of Physics and Astronomy, University of California, Riverside, California 92521 (United States)
  2. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Koeln (Germany)
Publication Date:
OSTI Identifier:
21366828
Resource Type:
Journal Article
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 81; Journal Issue: 19; Other Information: DOI: 10.1103/PhysRevB.81.195423; (c) 2010 The American Physical Society; Journal ID: ISSN 1098-0121
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; ASYMPTOTIC SOLUTIONS; CASIMIR EFFECT; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; CORRECTIONS; CORRELATIONS; ENTROPY; FREE ENERGY; INTERACTIONS; MAGNETIC FIELDS; METALS; PLASMA; PLATES; SCREENING; SPHERES; SUPERCONDUCTORS; TEMPERATURE DEPENDENCE; CALCULATION METHODS; ELEMENTS; ENERGY; EVALUATION; MATHEMATICAL SOLUTIONS; PHYSICAL PROPERTIES; SIMULATION; THERMODYNAMIC PROPERTIES

Citation Formats

Zandi, Roya, Mohideen, Umar, Emig, Thorsten, and Laboratoire de Physique Theorique et Modeles Statistiques, CNRS UMR 8626, Universite Paris-Sud, 91405 Orsay. Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models. United States: N. p., 2010. Web. doi:10.1103/PHYSREVB.81.195423.
Zandi, Roya, Mohideen, Umar, Emig, Thorsten, & Laboratoire de Physique Theorique et Modeles Statistiques, CNRS UMR 8626, Universite Paris-Sud, 91405 Orsay. Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models. United States. https://doi.org/10.1103/PHYSREVB.81.195423
Zandi, Roya, Mohideen, Umar, Emig, Thorsten, and Laboratoire de Physique Theorique et Modeles Statistiques, CNRS UMR 8626, Universite Paris-Sud, 91405 Orsay. Sat . "Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models". United States. https://doi.org/10.1103/PHYSREVB.81.195423.
@article{osti_21366828,
title = {Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models},
author = {Zandi, Roya and Mohideen, Umar and Emig, Thorsten and Laboratoire de Physique Theorique et Modeles Statistiques, CNRS UMR 8626, Universite Paris-Sud, 91405 Orsay},
abstractNote = {We calculate the Casimir interaction between a sphere and a plate, both described by the plasma model, the Drude model, or generalizations of the two models. We compare the results at both zero and finite temperatures. At asymptotically large separations we obtain analytical results for the interaction that reveal a nonuniversal, i.e., material-dependent interaction for the plasma model. The latter result contains the asymptotic interaction for Drude metals and perfect reflectors as different but universal limiting cases. This observation is related to the screening of a static magnetic field by a London superconductor. For small separations we find corrections to the proximity force approximation that support correlations between geometry and material properties that are not captured by the Lifshitz theory. Our results at finite temperatures reveal for Drude metals a nonmonotonic temperature dependence of the Casimir free energy and a negative entropy over a sizeable range of separations.},
doi = {10.1103/PHYSREVB.81.195423},
url = {https://www.osti.gov/biblio/21366828}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 19,
volume = 81,
place = {United States},
year = {2010},
month = {5}
}