Problems and paradoxes of the Lifshitz theory

Klimchitskaya, G. L.

doi:10.1088/1742-6596/161/1/012002

Cited by 38 publications

(11 citation statements)

References 44 publications

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“…It was shown, however, that the modification of the TM reflection coefficient in accordance with Eq. (40) leads to the violation of the Nernst heat theorem for those dielectric materials whose charge carrier density does not vanish when T → 0 and conductivity vanishes due to the vanishing mobility (Klimchitskaya, 2008;. For metals with perfect crystal lattices this approach violates the Nernst theorem as discussed above (Mostepanenko et al, 2009).…”

Section: Real Metalsmentioning

confidence: 99%

The Casimir force between real materials: Experiment and theory

2009

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Section: Real Metalsmentioning

confidence: 99%

The Casimir force between real materials: Experiment and theory

2009

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“…It is pertinent to note that the Boltzmann transport equation used to derive the reflection coefficients r mod TM,TE (iξ) describes only nonequilibrium processes which must be accompained by an increase of entropy. 91 It was shown that the modified theory of the van der Waals and Casimir force violates the Nernst heat theorem for several classes of dielectric materials 5,16,41,43,44,92 and for metals with perfect crystal lattices. 5,16,42,44,93 There were a few dissenters from this result 40,[94][95][96][97] in application to dielectric materials.…”

Section: Comparison With the Modified Lifshitz Theorymentioning

confidence: 99%

Control of the Casimir Force Using Semiconductor Test Bodies

Klimchitskaya

Mohideen

Mostepanenko

2011

Int. J. Mod. Phys. B

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We describe experimental and related theoretical work on the measurement of the Casimir force using semiconductor test bodies. This field of research started in 2005 and several important and interesting results have already been obtained. Specifically, the Casimir force or its gradient was measured in the configuration of an Au-coated sphere and different semiconductor surfaces. It was found that the force magnitude depends significantly on the replacement of the metal with a semiconductor and on the concentration of charge carriers in the semiconductor material. Special attention is paid to the experiment on the optical modulation of the Casimir force. In this experiment the difference in Casimir force between an Au-coated sphere and a Si plate in the presence and in the absence of laser light was measured. Possible applications of this experiment are discussed, specifically, for the realization of the pulsating Casimir force in three-layer systems. Theoretical problems arising from the comparison of the experimental data for the difference in Casimir force with the Lifshitz theory are analyzed. We consider the possibility to control the magnitude of the Casimir force in phase transitions of semiconductor materials. Experiments on measuring the Casimir force gradient between an Au-coated sphere and a Si plate covered with rectangular corrugations of different characters are also described. Here, we discuss the interplay between the material properties and nontrivial geometry and the applicability of the proximity force approximation. The review contains comparison between different experiments and analysis of their advantages and disadvantages.

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“…However, in the case of metals with perfect crystal structure (which is the basic model used in condensed-matter physics) and for dielectrics, a satisfactory solution was not found. This even resulted in the attempts [22,23] to modify the Lifshitz theory, and this led to a controversial discussion in the literature [6,11,[24][25][26][27][28][29][30][31]. From the experimental side, it was shown that data exclude the Lifshitz theory if the role of conduction electrons is taken into account by means of the dissipative Drude model.…”

Section: Introductionmentioning

confidence: 99%

Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator

et al. 2010

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We investigate the possibility of measuring the thermal Casimir force and its gradient in the configuration of a plate and a microfabricated cylinder attached to a micromachined oscillator. The Lifshitz-type formulas in this configuration are derived using the proximity force approximation. The accuracy of the obtained expressions is determined from a comparison with exact results available in ideal metal case. Computations of the thermal correction to both the Casimir force and its gradient are performed in the framework of different theoretical approaches proposed in the literature. The correction to the Casimir force and its gradient due to lack of parallelism of the plate and cylinder is determined using the nonmultiplicative approach. The error introduced in the theory due to the finite length of the cylinder is estimated. We propose that both static and dynamic experiments measuring the thermal Casimir interaction between a cylinder and a plate using a micromachined oscillator can shed additional light on the thermal Casimir force problem. Specifically, it is shown that the static experiment is better adapted for the measurement of thermal effects.

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Problems and paradoxes of the Lifshitz theory

Cited by 38 publications

References 44 publications

The Casimir force between real materials: Experiment and theory

The Casimir force between real materials: Experiment and theory

Control of the Casimir Force Using Semiconductor Test Bodies

Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator

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