dorsal/arxiv
View SchemaExplicit conversion from the Casimir force to Planck's law of radiation
| Authors | Kenji Fukushima, Koichi Ohta |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108145 |
| URL | https://arxiv.org/abs/quant-ph/0108145 |
| DOI | 10.1016/S0378-4371(01)00331-4 |
| Journal | Physica A299 (2001) 248-253 |
Abstract
The Casimir force has its origin in finite modification of the infinite zero-point energy induced by a specific boundary condition for the spatial configuration. In terms of the imaginary-time formalism at finite temperature, the root of Planck's law of radiation can be traced back to finite modification of the infinite vacuum energy induced by the periodic boundary condition in the temporal direction. We give the explicit conversion from the Casimir force to Planck's law of radiation, which shows the apparent correspondence between the system bounded by parallel conducting plates and the thermodynamic system. The temperature inversion symmetry and the duality relation in the thermodynamics are also discussed. We conclude that the effective temperature characterized by the spatial extension should no longer be regarded as genuine temperature.
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"abstract": "The Casimir force has its origin in finite modification of the infinite\nzero-point energy induced by a specific boundary condition for the spatial\nconfiguration. In terms of the imaginary-time formalism at finite temperature,\nthe root of Planck\u0027s law of radiation can be traced back to finite modification\nof the infinite vacuum energy induced by the periodic boundary condition in the\ntemporal direction. We give the explicit conversion from the Casimir force to\nPlanck\u0027s law of radiation, which shows the apparent correspondence between the\nsystem bounded by parallel conducting plates and the thermodynamic system. The\ntemperature inversion symmetry and the duality relation in the thermodynamics\nare also discussed. We conclude that the effective temperature characterized by\nthe spatial extension should no longer be regarded as genuine temperature.",
"arxiv_id": "quant-ph/0108145",
"authors": [
"Kenji Fukushima",
"Koichi Ohta"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0378-4371(01)00331-4",
"journal_ref": "Physica A299 (2001) 248-253",
"title": "Explicit conversion from the Casimir force to Planck\u0027s law of radiation",
"url": "https://arxiv.org/abs/quant-ph/0108145"
},
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