Temperature correction to the casimir effect

Mehra, Jagdish

doi:10.1016/0031-8914(67)90115-2

Cited by 204 publications

(170 citation statements)

References 7 publications

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“…The power-like contribution at T → 0 comes from n = 0, 43) which is just the result first found by Mehra [212]. In order to compare with (5.25) we remark that Eq.…”

Section: The Asymptotics Of the Casimir Force At High And Low Temperasupporting

confidence: 77%

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New developments in the Casimir effect

2001

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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

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“…The power-like contribution at T → 0 comes from n = 0, 43) which is just the result first found by Mehra [212]. In order to compare with (5.25) we remark that Eq.…”

Section: The Asymptotics Of the Casimir Force At High And Low Temperasupporting

confidence: 77%

“…Such a representation was suggested in [212,214] for other purposes. This approach is discussed below.…”

Section: Conductivity and Temperature: Two Semispacesmentioning

confidence: 99%

New developments in the Casimir effect

2001

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“…The Casimir interaction at finite temperature consists of two parts: a purely quantum one which subsists as T → 0 K involving the zero-point energy of the electromagnetic vacuum [1] and a thermal one [2] which takes into account the real thermal photons emitted by the bodies. For the thermal part to become noticeable, frequencies relevant to the Casimir interaction must fall in the range of relevant thermal frequencies.…”

Section: Introductionmentioning

confidence: 99%

Thermal Casimir force between nanostructured surfaces

et al. 2013

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We present detailed calculations for the Casimir force between a plane and a nanostructured surface at finite temperature in the framework of the scattering theory. We then study numerically the effect of finite temperature as a function of the grating parameters and the separation distance. We also infer nontrivial geometrical effects on the Casimir interaction via a comparison with the proximity force approximation. Finally, we compare our calculations with data from experiments performed with nanostructured surfaces.

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“…Over the last 4 decades only a few have considered the corrections to the Casimir force such as due to the finite conductivity of the boundary metal [23,24,25], distortions of the surface shape [26,27] and nonzero temperature [28,29].…”

Section: Introductionmentioning

confidence: 99%

Theory confronts experiment in the Casimir force measurements: Quantification of errors and precision

2004

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We compare theory and experiment in the Casimir force measurement between gold surfaces performed with the atomic force microscope. Both random and systematic experimental errors are found leading to a total absolute error equal to 8.5 pN at 95% confidence. In terms of the relative errors, experimental precision of 1.75% is obtained at the shortest separation of 62 nm at 95% confidence level (at 60% confidence the experimental precision of 1% is confirmed at the shortest separation). An independent determination of the accuracy of the theoretical calculations of the Casimir force and its application to the experimental configuration is carefully made. Special attention is paid to the sample-dependent variations of the optical tabulated data due to the presence of grains, contribution of surface plasmons, and errors introduced by the use of the proximity force theorem. Nonmultiplicative and diffraction-type contributions to the surface roughness corrections are examined. The electric forces due to patch potentials resulting from the polycrystalline nature of the gold films are estimated. The finite size and thermal effects are found to be negligible. The theoretical accuracy of about 1.69% and 1.1% are found at a separation 62 nm and 200 nm, respectively. Within the limits of experimental and theoretical errors very good agreement between experiment and theory is confirmed characterized by the root mean square deviation of about 3.5 pN within all measurement range. The conclusion is made that the Casimir force is stable relative to variations of the sample-dependent optical and electric properties, which opens new opportunities to use the Casimir effect for diagnostic purposes.

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Temperature correction to the casimir effect

Cited by 204 publications

References 7 publications

New developments in the Casimir effect

New developments in the Casimir effect

Thermal Casimir force between nanostructured surfaces

Theory confronts experiment in the Casimir force measurements: Quantification of errors and precision

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