Casimir free energy of metallic films: Discriminating between Drude and plasma model approaches
arXiv:1509.08080 · doi:10.1103/PhysRevA.92.042109
Abstract
We investigate the Casimir free energy of a metallic film either sandwiched between two dielectric plates or in vacuum. It is shown that even for a thin film of several tens of nanometer thickness the Casimir free energy and pressure calculated with the Lifshitz theory using the Drude model and the plasma model approaches take significantly different values and can be easily discriminated. According to our results, the classical limit is already achieved for films of about 100\,nm thickness if the Drude model approach is used in calculations. In this case the classical expressions for the Casimir free energy and pressure are common for both configurations considered. If the plasma model approach is used, the classical limit is not achieved for any film thickness. Instead, the Casimir free energy and pressure are decreasing exponentially to zero. When the plasma frequency goes to infinity, the Casimir free energy obtained using the Drude model approach goes to a nonzero limit in contradiction with expectations. If the plasma model approach is used the free energy of metallic film goes to zero in the limit of infinitely large plasma frequency. All analytic results are accompanied by numerical computations performed for a Au film and sapphire plates. The possibilities to observe the predicted effects discriminating between the Drude and plasma model approaches are discussed.
24 pages, 6 figures; to appear in Phys. Rev. A
References in corpus (20)
- Measurement of the Temperature Dependence of the Casimir-Polder Force
- Novel constraints on light elementary particles and extra-dimensional physics from the Casimir effect
- Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arrays
- Control of the Casimir force by the modification of dielectric properties with light
- Casimir forces in a T operator approach
- Influence of random roughness on the Casimir force at small separations
- Demonstration of the Casimir force between ferromagnetic surfaces of a Ni-coated sphere and a Ni-coated plate
- Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions
- Conductivity of dielectric and thermal atom-wall interaction
- Kramers-Kronig relations for plasma-like permittivities and the Casimir force
- Casimir-Polder force between an atom and a dielectric plate: thermodynamics and experiment
- Universal behavior of dispersion forces between two dielectric plates in the low-temperature limit
- Improved constraints on the coupling constants of axion-like particles to nucleons from recent Casimir-less experiment
- Apparatus for measuring the thermal Casimir force at large distances
- Casimir entropy for magnetodielectrics
- Stronger constraints on axion from measuring the Casimir interaction by means of dynamic atomic force microscope
- Isolelectronic apparatus to probe the thermal Casimir force
- How to confirm and exclude different models of material properties in the Casimir effect
- A study of the electromagnetic fluctuation induced forces on thin metallic films
- Role of vacuum fluctuation forces in thin metal film stability
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