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Title: Temperature dependence of the Casimir force for bulk lossy media

Abstract

We discuss the limitations for the applicability of the Lifshitz theory to describe the temperature dependence of the Casimir force between bulk lossy metal slabs of finite sizes. We pay attention to the important fact that Lifshitz's theory is not applicable when the characteristic wavelength of the fluctuating field, responsible for the temperature-dependent terms in the Casimir force, are longer than the size of the sample. As a result, the widely discussed linearly decreasing temperature dependence of the Casimir force can be observed only for dirty and large metal samples at high enough temperatures. Moreover, for the correct description of the Casimir effect at low enough temperatures, a careful consideration of the concrete geometry of the interacting samples is essential.

Authors:
; ;  [1];  [2];  [1];  [3];  [1];  [4]
  1. Advanced Science Institute, RIKEN, Saitama 351-0198 (Japan)
  2. (Ukraine)
  3. (United Kingdom)
  4. (United States)
Publication Date:
OSTI Identifier:
21454790
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.82.032511; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; CASIMIR EFFECT; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC INTERACTIONS; METALS; SLABS; TEMPERATURE DEPENDENCE; WAVELENGTHS; BASIC INTERACTIONS; ELEMENTS; INTERACTIONS

Citation Formats

Yampol'skii, V. A., Maizelis, Z. A., Apostolov, S. S., A.Ya. Usikov Institute for Radiophysics and Electronics, NASU, 61085 Kharkov, Savel'ev, Sergey, Department of Physics, Loughborough University, Loughborough LE11 3TU, Nori, Franco, and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109. Temperature dependence of the Casimir force for bulk lossy media. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.032511.
Yampol'skii, V. A., Maizelis, Z. A., Apostolov, S. S., A.Ya. Usikov Institute for Radiophysics and Electronics, NASU, 61085 Kharkov, Savel'ev, Sergey, Department of Physics, Loughborough University, Loughborough LE11 3TU, Nori, Franco, & Department of Physics, University of Michigan, Ann Arbor, Michigan 48109. Temperature dependence of the Casimir force for bulk lossy media. United States. doi:10.1103/PHYSREVA.82.032511.
Yampol'skii, V. A., Maizelis, Z. A., Apostolov, S. S., A.Ya. Usikov Institute for Radiophysics and Electronics, NASU, 61085 Kharkov, Savel'ev, Sergey, Department of Physics, Loughborough University, Loughborough LE11 3TU, Nori, Franco, and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109. Wed . "Temperature dependence of the Casimir force for bulk lossy media". United States. doi:10.1103/PHYSREVA.82.032511.
@article{osti_21454790,
title = {Temperature dependence of the Casimir force for bulk lossy media},
author = {Yampol'skii, V. A. and Maizelis, Z. A. and Apostolov, S. S. and A.Ya. Usikov Institute for Radiophysics and Electronics, NASU, 61085 Kharkov and Savel'ev, Sergey and Department of Physics, Loughborough University, Loughborough LE11 3TU and Nori, Franco and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109},
abstractNote = {We discuss the limitations for the applicability of the Lifshitz theory to describe the temperature dependence of the Casimir force between bulk lossy metal slabs of finite sizes. We pay attention to the important fact that Lifshitz's theory is not applicable when the characteristic wavelength of the fluctuating field, responsible for the temperature-dependent terms in the Casimir force, are longer than the size of the sample. As a result, the widely discussed linearly decreasing temperature dependence of the Casimir force can be observed only for dirty and large metal samples at high enough temperatures. Moreover, for the correct description of the Casimir effect at low enough temperatures, a careful consideration of the concrete geometry of the interacting samples is essential.},
doi = {10.1103/PHYSREVA.82.032511},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 82,
place = {United States},
year = {2010},
month = {9}
}