dorsal/arxiv
View SchemaTemperature dependence of the Casimir force between real metals: problems and approach to their resolution
| Authors | G. L. Klimchitskaya, V. M. Mostepanenko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0101128 |
| URL | https://arxiv.org/abs/quant-ph/0101128 |
| DOI | 10.1103/PhysRevA.63.062108 |
| Journal | Phys. Rev. A, v.63, p.062108-1-18 (2001) |
Abstract
We investigate the Casimir force acting between real metals at nonzero temperature. It is shown that the zero-frequency term of Lifshitz formula has interpretation problem in the case of real metal described by Drude model. It happens because the scattering theory underlying Lifshitz formula is not well formulated when the dielectric permittivity takes account of dissipation. To give the zeroth term of Lifshitz formula the definite meaning different prescriptions were used recently by different authors with diversed results. These results are shown to be improper and in disagreement with experiment and the general physical requirements. We propose the new prescription which is a generalization of Schwinger, DeRaad and Milton recipe formulated earlier for ideal metals. On this base the detailed numerical and analytical computations of the temperature Casimir force are performed in configuration of two plane plates and a spherical lens (sphere) above a plate. The corrections due to nonzero temperature and finite conductivity found in the paper are in agreement with the limiting case of perfect metal and fit all experimental and theoretical requirements. Among other facts, the previous results obtained in frames of plasma model are confirmed. It appears they are the limiting case of Drude model computations when the relaxation parameter goes to zero. The comparison with the Casimir force acting between dielectric test bodies is made.
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"abstract": "We investigate the Casimir force acting between real metals at nonzero\ntemperature. It is shown that the zero-frequency term of Lifshitz formula has\ninterpretation problem in the case of real metal described by Drude model. It\nhappens because the scattering theory underlying Lifshitz formula is not well\nformulated when the dielectric permittivity takes account of dissipation. To\ngive the zeroth term of Lifshitz formula the definite meaning different\nprescriptions were used recently by different authors with diversed results.\nThese results are shown to be improper and in disagreement with experiment and\nthe general physical requirements. We propose the new prescription which is a\ngeneralization of Schwinger, DeRaad and Milton recipe formulated earlier for\nideal metals. On this base the detailed numerical and analytical computations\nof the temperature Casimir force are performed in configuration of two plane\nplates and a spherical lens (sphere) above a plate. The corrections due to\nnonzero temperature and finite conductivity found in the paper are in agreement\nwith the limiting case of perfect metal and fit all experimental and\ntheoretical requirements. Among other facts, the previous results obtained in\nframes of plasma model are confirmed. It appears they are the limiting case of\nDrude model computations when the relaxation parameter goes to zero. The\ncomparison with the Casimir force acting between dielectric test bodies is\nmade.",
"arxiv_id": "quant-ph/0101128",
"authors": [
"G. L. Klimchitskaya",
"V. M. Mostepanenko"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.062108",
"journal_ref": "Phys. Rev. A, v.63, p.062108-1-18 (2001)",
"title": "Temperature dependence of the Casimir force between real metals: problems and approach to their resolution",
"url": "https://arxiv.org/abs/quant-ph/0101128"
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