Derivative expansion for the electromagnetic Casimir free energy at high temperatures

Fosco, C. D.; Lombardo, Fernando C.; Mazzitelli, Francisco D.

doi:10.1103/physrevd.92.125007

Cited by 9 publications

(17 citation statements)

References 26 publications

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“…Working out the NTLO correction to PFA for these two models is of great interest, because in the HT limit the perturbative kernels for N and P bc display a singular be-havior for small in-plane momenta, invalidating the DE [19, 28] [42]. The DE has been shown to fail also for the plasma model in the HT limit in [37]. As a result, the analytic form of the NTLO for N and P bc is so far unknown.…”

Section: Introductionmentioning

confidence: 99%

Classical Casimir interaction of a perfectly conducting sphere and plate

Bimonte

2017

Phys. Rev. D

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We study the Casimir interaction between perfectly conducting sphere and plate in the classical limit of high temperatures. By taking the small-distance expansion of the exact scattering formula, we compute the leading correction to the Casimir energy beyond the commonly employed proximity force approximation. We find that for a sphere of radius R at distance d from the plate the correction is of the form ln 2 (d/R), in agreement with indications from recent large-scale numerical computations. We develop a fast-converging numerical scheme for computing the Casimir interaction to high precision, based on bispherical partial waves, and we verify that the short-distance formula provides precise values of the Casimir energy also for fairly large distances.

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Section: Introductionmentioning

confidence: 99%

Classical Casimir interaction of a perfectly conducting sphere and plate

Bimonte

2017

Phys. Rev. D

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“…The high temperature (classical) limit is dominated, for a Bose field, by the n = 0 Matsubara mode. In a previous work [5], we have shown that the zero mode free energy can be written as…”

Section: Free Energy For the Electromagnetic Fieldmentioning

confidence: 99%

Casimir free energy at high temperatures: Grounded versus isolated conductors

2016

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We evaluate the difference between the Casimir free energies corresponding to either grounded or isolated perfect conductors, at high temperatures. We show that a general and simple expression for that difference can be given, in terms of the electrostatic capacitance matrix for the system of conductors. For the case of close conductors, we provide approximate expressions for that difference, by evaluating the capacitance matrix using the proximity force approximation.Since the high-temperature limit for the Casimir free energy for a medium described by a frequency-dependent conductivity diverging at zero frequency coincides with that of an isolated conductor, our results may shed light on the corrections to the Casimir force in the presence of real materials.

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“…Its application to compact objects like the sphere thus relies on the assumption that only the lower hemisphere contributes when R/L 1 [32]. Moreover, the derivative expansion requires analyticity of the perturbative kernel, a condition not met for the zero-frequency contribution when taking the plasma model [33].…”

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confidence: 99%

Plasma versus Drude Modeling of the Casimir Force: Beyond the Proximity Force Approximation

2017

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We calculate the Casimir force and its gradient between a spherical and a planar gold surface. Significant numerical improvements allow us to extend the range of accessible parameters into the experimental regime. We compare our numerically exact results with those obtained within the proximity force approximation (PFA) employed in the analysis of all Casimir force experiments reported in the literature so far. Special attention is paid to the difference between the Drude model and the dissipationless plasma model at zero frequency. It is found that the correction to PFA is too small to explain the discrepancy between the experimental data and the PFA result based on the Drude model. However, it turns out that for the plasma model, the corrections to PFA lie well outside the experimental bound obtained by probing the variation of the force gradient with the sphere radius [D. E. Krause et al., Phys. Rev. Lett. 98, 050403 (2007)PRLTAO0031-900710.1103/PhysRevLett.98.050403]. The corresponding corrections based on the Drude model are significantly smaller but still in violation of the experimental bound for small distances between plane and sphere.

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Derivative expansion for the electromagnetic Casimir free energy at high temperatures

Cited by 9 publications

References 26 publications

Classical Casimir interaction of a perfectly conducting sphere and plate

Classical Casimir interaction of a perfectly conducting sphere and plate

Casimir free energy at high temperatures: Grounded versus isolated conductors

Plasma versus Drude Modeling of the Casimir Force: Beyond the Proximity Force Approximation

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