dorsal/arxiv
View SchemaViolation of the Nernst heat theorem in the theory of thermal Casimir force between Drude metals
| Authors | V. B. Bezerra, G. L. Klimchitskaya, V. M. Mostepanenko, C. Romero |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401138 |
| URL | https://arxiv.org/abs/quant-ph/0401138 |
| DOI | 10.1103/PhysRevA.69.022119 |
| Journal | Phys. Rev. A, v.69, N2, p.022119-(1-9), 2004 |
Abstract
We give a rigorous analytical derivation of low-temperature behavior of the Casimir entropy in the framework of the Lifshitz formula combined with the Drude dielectric function. An earlier result that the Casimir entropy at zero temperature is not equal to zero and depends on the parameters of the system is confirmed, i.e. the third law of thermodynamics (the Nernst heat theorem) is violated. We illustrate the resolution of this thermodynamical puzzle in the context of the surface impedance approach by several calculations of the thermal Casimir force and entropy for both real metals and dielectrics. Different representations for the impedances, which are equivalent for real photons, are discussed. Finally, we argue in favor of the Leontovich boundary condition which leads to results for the thermal Casimir force that are consistent with thermodynamics.
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"abstract": "We give a rigorous analytical derivation of low-temperature behavior of the\nCasimir entropy in the framework of the Lifshitz formula combined with the\nDrude dielectric function. An earlier result that the Casimir entropy at zero\ntemperature is not equal to zero and depends on the parameters of the system is\nconfirmed, i.e. the third law of thermodynamics (the Nernst heat theorem) is\nviolated. We illustrate the resolution of this thermodynamical puzzle in the\ncontext of the surface impedance approach by several calculations of the\nthermal Casimir force and entropy for both real metals and dielectrics.\nDifferent representations for the impedances, which are equivalent for real\nphotons, are discussed. Finally, we argue in favor of the Leontovich boundary\ncondition which leads to results for the thermal Casimir force that are\nconsistent with thermodynamics.",
"arxiv_id": "quant-ph/0401138",
"authors": [
"V. B. Bezerra",
"G. L. Klimchitskaya",
"V. M. Mostepanenko",
"C. Romero"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.022119",
"journal_ref": "Phys. Rev. A, v.69, N2, p.022119-(1-9), 2004",
"title": "Violation of the Nernst heat theorem in the theory of thermal Casimir force between Drude metals",
"url": "https://arxiv.org/abs/quant-ph/0401138"
},
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