dorsal/arxiv
View SchemaCasimir force under the influence of real conditions
| Authors | B. Geyer, G. L. Klimchitskaya, V. M. Mostepanenko |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109118 |
| URL | https://arxiv.org/abs/quant-ph/0109118 |
| DOI | 10.1142/S0217751X01004372 |
| Journal | Int. J. Mod. Phys. A63, N19, 3291-3308, 2001 |
Abstract
The Casimir force is calculated analytically for configurations of two parallel plates and a spherical lens (sphere) above a plate with account of nonzero temperature, finite conductivity of the boundary metal and surface roughness. The permittivity of the metal is described by the plasma model. It is proved that in case of the plasma model the scattering formalism of quantum field theory in Matsubara formulation underlying Lifshitz formula is well defined and no modifications are needed concerning the zero-frequency contribution. The temperature correction to the Casimir force is found completely with respect to temperature and perturbatively (up to the second order in the relative penetration depth of electromagnetic zero-point oscillations into the metal) with respect to finite conductivity. The asymptotics of low and high temperatures are presented and contributions of longitudinal and perpendicular modes are determined separately. Serving as an example, aluminium test bodies are considered showing good agreement between the obtained analytical results and previously performed numerical computations. The roughness correction is formally included and formulas are given permitting to calculate the Casimir force under the influence of all relevant factors.
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"abstract": "The Casimir force is calculated analytically for configurations of two\nparallel plates and a spherical lens (sphere) above a plate with account of\nnonzero temperature, finite conductivity of the boundary metal and surface\nroughness. The permittivity of the metal is described by the plasma model. It\nis proved that in case of the plasma model the scattering formalism of quantum\nfield theory in Matsubara formulation underlying Lifshitz formula is well\ndefined and no modifications are needed concerning the zero-frequency\ncontribution. The temperature correction to the Casimir force is found\ncompletely with respect to temperature and perturbatively (up to the second\norder in the relative penetration depth of electromagnetic zero-point\noscillations into the metal) with respect to finite conductivity. The\nasymptotics of low and high temperatures are presented and contributions of\nlongitudinal and perpendicular modes are determined separately. Serving as an\nexample, aluminium test bodies are considered showing good agreement between\nthe obtained analytical results and previously performed numerical\ncomputations. The roughness correction is formally included and formulas are\ngiven permitting to calculate the Casimir force under the influence of all\nrelevant factors.",
"arxiv_id": "quant-ph/0109118",
"authors": [
"B. Geyer",
"G. L. Klimchitskaya",
"V. M. Mostepanenko"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217751X01004372",
"journal_ref": "Int. J. Mod. Phys. A63, N19, 3291-3308, 2001",
"title": "Casimir force under the influence of real conditions",
"url": "https://arxiv.org/abs/quant-ph/0109118"
},
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