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Title: Comment on 'Temperature dependence of the Casimir effect'

Abstract

Recently, Brevik et al. [Phys. Rev. E, 71, 056101 (2005)] adduced arguments against the traditional approach to the thermal Casimir force between real metals and in favor of one of the alternative approaches. The latter assume zero contribution from the transverse electric mode at zero frequency in qualitative disagreement with unity as given by the thermal quantum field theory for ideal metals. Those authors claim that their approach is consistent with experiments as well as with thermodynamics. We demonstrate that these conclusions are incorrect. We show specifically that their results are contradicted by four recent experiments and also violate the third law of thermodynamics (the Nernst heat theorem)

Authors:
;  [1];  [2];  [3];  [4];  [5];  [6];  [7];  [8];  [9];  [4];  [10]
  1. Department of Physics, Federal University of Paraiba, Caixa Postal 5008, CEP 58059-970, Joao Pessoa, Pb (Brazil)
  2. Department of Physics, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana 46202 (United States)
  3. Department of Physics, Purdue University, West Lafayette, Indiana 47907 (United States)
  4. Institute for Theoretical Physics, Leipzig University, Augustusplatz 10/11, 04109 Leipzig (Germany)
  5. North-West Technical University, Millionnaya St. 5, St. Petersburg 191065 (Russian Federation)
  6. (Germany)
  7. Physics Department, Wabash College, Crawfordsville, Indiana 47933 (United States)
  8. (United States)
  9. Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974 (United States)
  10. (Russian Federation)
Publication Date:
OSTI Identifier:
20778714
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevE.73.028101; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CASIMIR EFFECT; METALS; NERNST HEAT THEOREM; QUANTUM FIELD THEORY; TEMPERATURE DEPENDENCE; THERMODYNAMICS

Citation Formats

Bezerra, V.B., Romero, C., Decca, R.S., Fischbach, E., Geyer, B., Klimchitskaya, G.L., Institute for Theoretical Physics, Leipzig University, Augustusplatz 10/11, 04109 Leipzig, Krause, D.E., Department of Physics, Purdue University, West Lafayette, Indiana 47907, Lopez, D., Mostepanenko, V.M., and Noncommercial Partnership 'Scientific Instruments', Tverskaya St. 11, Moscow 103905. Comment on 'Temperature dependence of the Casimir effect'. United States: N. p., 2006. Web. doi:10.1103/PHYSREVE.73.0.
Bezerra, V.B., Romero, C., Decca, R.S., Fischbach, E., Geyer, B., Klimchitskaya, G.L., Institute for Theoretical Physics, Leipzig University, Augustusplatz 10/11, 04109 Leipzig, Krause, D.E., Department of Physics, Purdue University, West Lafayette, Indiana 47907, Lopez, D., Mostepanenko, V.M., & Noncommercial Partnership 'Scientific Instruments', Tverskaya St. 11, Moscow 103905. Comment on 'Temperature dependence of the Casimir effect'. United States. doi:10.1103/PHYSREVE.73.0.
Bezerra, V.B., Romero, C., Decca, R.S., Fischbach, E., Geyer, B., Klimchitskaya, G.L., Institute for Theoretical Physics, Leipzig University, Augustusplatz 10/11, 04109 Leipzig, Krause, D.E., Department of Physics, Purdue University, West Lafayette, Indiana 47907, Lopez, D., Mostepanenko, V.M., and Noncommercial Partnership 'Scientific Instruments', Tverskaya St. 11, Moscow 103905. Wed . "Comment on 'Temperature dependence of the Casimir effect'". United States. doi:10.1103/PHYSREVE.73.0.
@article{osti_20778714,
title = {Comment on 'Temperature dependence of the Casimir effect'},
author = {Bezerra, V.B. and Romero, C. and Decca, R.S. and Fischbach, E. and Geyer, B. and Klimchitskaya, G.L. and Institute for Theoretical Physics, Leipzig University, Augustusplatz 10/11, 04109 Leipzig and Krause, D.E. and Department of Physics, Purdue University, West Lafayette, Indiana 47907 and Lopez, D. and Mostepanenko, V.M. and Noncommercial Partnership 'Scientific Instruments', Tverskaya St. 11, Moscow 103905},
abstractNote = {Recently, Brevik et al. [Phys. Rev. E, 71, 056101 (2005)] adduced arguments against the traditional approach to the thermal Casimir force between real metals and in favor of one of the alternative approaches. The latter assume zero contribution from the transverse electric mode at zero frequency in qualitative disagreement with unity as given by the thermal quantum field theory for ideal metals. Those authors claim that their approach is consistent with experiments as well as with thermodynamics. We demonstrate that these conclusions are incorrect. We show specifically that their results are contradicted by four recent experiments and also violate the third law of thermodynamics (the Nernst heat theorem)},
doi = {10.1103/PHYSREVE.73.0},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}
  • It is pointed out that the Casimir energy in a medium can be obtained most directly from the zero-point energy of the electromagnetic field because of its reduced propagation velocity. This brings to the fore again the old problem related to how the principle of relativity is combined with the Maxwell field equations in a continuous medium.
  • Recently Yampol'skii et al.[Phys. Rev. A 82, 032511 (2010)] advocated that Lifshitz theory is not applicable when the characteristic wavelength of the fluctuating electromagnetic field, responsible for the thermal correction to the Casimir force, is larger than the size of the metal test bodies. It was claimed that this is the case in experiments which exclude Lifshitz theory combined with the Drude model. We calculate the wavelengths of the evanescent waves making the dominant contribution to the thermal correction and we find that they are much smaller than the sizes of the test bodies. The opposite conclusion obtained by themore » authors arose from confusion between propagating and evanescent waves.« less
  • Here, we present an estimate of the characteristic wavelengths of the evanescent modes, which define the main contribution to the thermal part of the Casimir force. This estimate is more precise than the one in the preceding Comment by Bimonte et al.[Phys. Rev. A 84, 036501 (2011)]. The wavelengths we derive are indeed smaller than the sizes of the interacting bodies. We also discuss the results of several experiments on the thermal effects in the Casimir force.
  • The temperature dependence of the Casimir force between a real metallic plate and a metallic sphere is analyzed on the basis of optical data concerning the dispersion relation of metals such as gold and copper. Realistic permittivities imply, together with basic thermodynamic considerations, that the transverse electric zero mode does not contribute. This results in observable differences from the conventional prediction, which does not take this physical requirement into account. The results are shown to be consistent with the third law of thermodynamics, as well as being not inconsistent with current experiments. However, the predicted temperature dependence should be detectablemore » in future experiments. The inadequacies of approaches based on ad hoc assumptions, such as the plasma dispersion relation and the use of surface impedance without transverse momentum dependence, are discussed.« less