Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings

Noto, Antonio; Messina, Riccardo; Guizal, Brahim; Antezza, Mauro

doi:10.1103/physreva.90.022120

Cited by 30 publications

(29 citation statements)

References 47 publications

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“…This is also true for two identical bodies of arbitrary shape placed symmetrically with respect to a plane [9]. Later, the theory of the Casimir force out of equilibrium was generalized to two or more arbitrarily shaped bodies consisting of dissimilar materials [10][11][12][13][14][15][16][17]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium effects in the Casimir force between two similar metallic plates kept at different temperatures

Ingold

Mostepanenko

2020

Phys. Rev. A

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We study the Casimir pressure between two similar plates of finite thickness kept at different temperatures in the case when the dielectric permittivity of the plates depends on temperature. It is suggested to consider the dielectric permittivity at two different temperatures as the permittivities of two dissimilar bodies, thus allowing to apply the theory of Casimir forces out of thermal equilibrium developed earlier in the literature. Following this approach, we show that, in addition to the equilibrium contribution to the nonequilibrium Casimir pressure, a proper nonequilibrium contribution arises for temperature-dependent dielectric permittivities. Furthermore, the equilibrium contribution in this case does not equal the mean of the equilibrium Casimir pressures at the temperatures of the plates. As an application, the total nonequilibrium Casimir pressure between two gold plates and between two titanium plates is calculated as a function of the plate thickness and their separation, using the Drude and the plasma model. For plate separations ranging from 0.5 to 2 µm, the relative difference between the theoretical predictions for these two models reaches 39%. The proper nonequilibrium term may be as large as 4% of the magnitude of the total nonequilibrium pressure.

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Section: Introductionmentioning

confidence: 99%

Nonequilibrium effects in the Casimir force between two similar metallic plates kept at different temperatures

Ingold

Mostepanenko

2020

Phys. Rev. A

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“…[30]. At a later time this theory was generalized to the systems of two or more bodies of arbitrary shape kept at different temperatures which may be also different from the temperature of the environment [31][32][33][34][35][36][37][38][39][40]. The radiative heat transfer at nonequilibrium was also investigated in connection with the van der Waals friction force between moving bodies [41].…”

Section: Introductionmentioning

confidence: 99%

Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons

Mostepanenko

Sedmik

2019

Phys. Rev. A

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We propose a test on the role of relaxation properties of conduction electrons in the Casimir pressure between two parallel metal-coated plates kept at different temperatures. It is shown that for sufficiently thick metallic coatings the Casimir pressure and pressure gradient are determined by the mean of the equilibrium contributions calculated at temperatures of the two plates and by the term independent on separation. Numerical computations of the nonequilibrium pressures are performed for two parallel Au plates of finite thickness as a function of separation and temperature of one of the plates using the plasma and Drude models for extrapolation of the optical data of Au to low frequencies. The obtained results essentially depend on the extrapolation used.Modifications of the CANNEX setup, originally developed to measure the Casimir pressure and pressure gradient in thermal equilibrium, are suggested, which allow different temperatures of one of the plates. Computations of the nonequilibrium pressure and pressure gradient are performed for a realistic experimental configuration. According to our results, even with only a 10 K difference in temperature between the plates, the experiment could discriminate between different theoretical predictions for the total pressure and its gradient, as well as for the contributions to them due to nonequilibrium, at high confidence.

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“…As discussed in detail in Ref. 46, a crucial point when using the FMM technique is the choice of the truncation order N , i.e. the number of diffraction orders taken into account in the Fourier decomposition of the field, going from −N to N .…”

Section: Numerical Resultsmentioning

confidence: 99%

Radiative heat transfer between metallic gratings using Fourier modal method with adaptive spatial resolution

et al. 2017

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We calculate the radiative heat transfer between two identical metallic one-dimensional lamellar gratings. To this aim we present and exploit a modification to the widely-used Fourier modal method, known as adaptive spatial resolution, based on a stretch of the coordinate associated to the periodicity of the grating. We first show that this technique dramatically improves the rate of convergence when calculating the heat flux, allowing to explore smaller separations. We then present a study of heat flux as a function of the grating height, highlighting a remarkable amplification of the exchanged energy, ascribed to the appearance of spoof-plasmon modes, whose behavior is also spectrally investigated. Differently from previous works, our method allows us to explore a range of grating heights extending over several orders of magnitude. By comparing our results to recent studies we find a consistent quantitative disagreement with some previously obtained results going up to 50%. In some cases, this disagreement is explained in terms of an incorrect connection between the reflection operators of the two gratings.

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Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings

Cited by 30 publications

References 47 publications

Nonequilibrium effects in the Casimir force between two similar metallic plates kept at different temperatures

Nonequilibrium effects in the Casimir force between two similar metallic plates kept at different temperatures

Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons

Radiative heat transfer between metallic gratings using Fourier modal method with adaptive spatial resolution

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