Difference between the vacuum Casimir energies for grounded and isolated conductors

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

doi:10.1103/physrevd.94.085024

Cited by 3 publications

(3 citation statements)

References 11 publications

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“…For perfect conductors, the bc obeyed by the scalar field are as follows. For E polarization, the scalar field is subjected to either D or Dr bc on the surfaces of the two bodies, depending on whether the plates are grounded or not [19,39,40], while for M polarization the scalar field obeys N bc. The dimensionless function Φ (P) providing the classical Casimir interaction for P bc can be thus decomposed as the sum of two independent contributions Φ (D/Dr) and Φ (N) , corresponding respectively to a D/Dr and a N scalar field:…”

Section: The Casimir Energy In the Classical Limitmentioning

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: The Casimir Energy In the Classical Limitmentioning

confidence: 99%

Classical Casimir interaction of a perfectly conducting sphere and plate

Bimonte

2017

Phys. Rev. D

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“…The relevance of the use of grounded conductors in Casimir experiments has also been discussed in Ref. [53].…”

Section: A Semianalytic Formula For Plane-sphere Geometrymentioning

confidence: 99%

Casimir Physics beyond the Proximity Force Approximation: The Derivative Expansion

Fosco,

Lombardo,

Mazzitelli

2024

Physics

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We review the derivative expansion (DE) method in Casimir physics, an approach which extends the proximity force approximation (PFA). After introducing and motivating the DE in contexts other than the Casimir effect, we present different examples which correspond to that realm. We focus on different particular geometries, boundary conditions, types of fields, and quantum and thermal fluctuations. Besides providing various examples where the method can be applied, we discuss a concrete example for which the DE cannot be applied; namely, the case of perfect Neumann conditions in 2+1 dimensions. By the same example, we show how a more realistic type of boundary condition circumvents the problem. We also comment on the application of the DE to the Casimir–Polder interaction which provides a broader perspective on particle–surface interactions.

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“…Despite this, practically all theoretical studies implicitly assume that the conductors as isolated, by using the expression of the T -matrices (the Mie coefficients in the case of spheres) that actually describe isolated conductors. The question of grounding or not the conductors is explicitly discussed in very few works [31,38]. In the current experimental situation, the distinction between grounded or isolated conductors is more a matter of principle than a necessity, since the difference between the two models manifests itself only at the level of beyond PFA deviations, which are too small to be detected with current apparatus.…”

Section: Introductionmentioning

confidence: 99%

Beyond-proximity-force-approximation Casimir force between two spheres at finite temperature. II. Plasma versus Drude modeling, grounded versus isolated spheres

Bimonte

2018

Phys. Rev. D

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A recent experiment [J. L. Garrett, D. A. T. Somers, and J. N. Munday, Phys. Rev. Lett 120, 040401 (2018)] measured for the first time the gradient of the Casimir force between two gold spheres in vacuum at room temperature, and placed a bound on the magnitude of the deviation of the measured force from the proximity force approximation (PFA). The present work extends a previous theoretical analysis of this experiment [G. Bimonte, Phys. Rev. D 97, 085011 (2018)], by analyzing in detail how the magnitude of the deviation from PFA is affected by the inclusion or neglect of ohmic dissipation at zero frequency, a much debated issue in the current Casimir literature, which goes by the name of the Drude vs plasma controversy. We analyze as well the effect of connecting the conductors to charge reservoirs, which is the standard configuration used in Casimir experiments. We describe a simple and effective decimation procedure, allowing for a faster computation of the Casimir force for large aspect ratios of the system. PACS numbers: 12.20.-m, 03.70.+k, 42.25.Fx arXiv:1804.07182v2 [quant-ph] 1 Nov 2018

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Difference between the vacuum Casimir energies for grounded and isolated conductors

Cited by 3 publications

References 11 publications

Classical Casimir interaction of a perfectly conducting sphere and plate

Classical Casimir interaction of a perfectly conducting sphere and plate

Casimir Physics beyond the Proximity Force Approximation: The Derivative Expansion

Beyond-proximity-force-approximation Casimir force between two spheres at finite temperature. II. Plasma versus Drude modeling, grounded versus isolated spheres

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