Thermal correction to the Casimir force, radiative heat transfer, and an experiment

Abstract

The low-temperature asymptotic expressions for the Casimir interaction between two real metals described by Leontovich surface impedance are obtained in the framework of thermal quantum field theory. It is shown that the Casimir entropy computed using the impedance of infrared optics vanishes in the limit of zero temperature. By contrast, the Casimir entropy computed using the impedance of the Drude model attains at zero temperature a positive value which depends on the parameters of a system, i.e., the Nernst heat theorem is violated. Thus, the impedance of infrared optics withstands the thermodynamic test, whereas the impedance of the Drude model does not. We also perform a phenomenological analysis of the thermal Casimir force and of the radiative heat transfer through a vacuum gap between real metal plates. The characterization of a metal by means of the Leontovich impedance of the Drude model is shown to be inconsistent with experiment at separations of a few hundred nanometers. A modification of the impedance of infrared optics is suggested taking into account relaxation processes. The power of radiative heat transfer predicted from this impedance is several times less than previous predictions due to different contributions from the transverse electric evanescent waves. The physical meaning of low frequencies in the Lifshitz formula is discussed. It is concluded that new measurements of radiative heat transfer are required to find out the adequate description of a metal in the theory of electromagnetic fluctuations.

19 pages, 4 figures. svjour.cls is used, to appear in Eur. Phys. J. C

References in corpus (15)

• Radiative heat transfer between nanostructures
• Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
• Effect of the Casimir-Polder force on the collective oscillations of a trapped Bose-Einstein condensate
• The Casimir force and the quantum theory of lossy optical cavities
• Demonstration of optically modulated dispersion forces
• Resonant photon tunneling enhancement of the radiative heat transfer
• Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interations
• Demonstration of the difference Casimir force for samples with different charge carrier densities
• Experimental test for the conductivity properties from the Casimir force between metal and semiconductor
• Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions
• Van der Waals interaction between a microparticle and a single-wall carbon nanotube
• Kramers-Kronig relations for plasma-like permittivities and the Casimir force
• Universal behavior of dispersion forces between two dielectric plates in the low-temperature limit
• Comment on "Effects of spatial dispersion on electromagnetic surface modes and on modes associated with a gap between two half spaces"
• Comment on " Low-frequency character of the Casimir force between metallic films"

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• High-accuracy Casimir-Polder force calculations using the Discontinuous Galerkin Time-Domain method