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We discuss the limitations of the applicability of the Lifshitz formula to describe the temperature dependence of the Casimir force between two bulk lossy metals. These limitations follow from the finite sizes of the interacting bodies.…

Other Condensed Matter · Physics 2015-05-13 V. A. Yampol'skii , Sergey Savel'ev , Z. A. Mayselis , S. S. Apostolov , Franco Nori

It is well known that, beginning in 2000, the behavior of the thermal correction to the Casimir force between real metals has been hotly debated. As was shown by several research groups, the Lifshitz theory, which provides the theoretical…

The physical origin of the negative thermal correction to the Casimir force between metals is clarified. For this purpose the asymptotic behavior of the thermal Casimir force is analyzed at large and small distances in the real frequency…

Quantum Physics · Physics 2009-11-13 Vitaly B. Svetovoy

We consider the Casimir force in configurations with magnetic metal plates and analyze the reasons why the predictions of the Lifshitz theory using the dielectric permittivity of the Drude model are inconsistent with the measurement data.…

Quantum Physics · Physics 2026-02-19 G. L. Klimchitskaya , C. C. Korikov , V. M. Mostepanenko

It has been known that the Lifshitz theory of the Casimir force comes into conflict with the measurement data if the response of conduction electrons in metals to electromagnetic fluctuations is described by the well tested dissipative…

Quantum Physics · Physics 2022-01-07 G. L. Klimchitskaya , V. M. Mostepanenko

It has been known that the fundamental Lifshitz theory, which is based on first principles of thermal quantum field theory, experiences difficulties when compared with precise measurements of the Casimir force. We analyze the…

Quantum Physics · Physics 2023-05-05 G. L. Klimchitskaya , V. M. Mostepanenko

We investigate the Casimir force acting between real metals at nonzero temperature. It is shown that the zero-frequency term of Lifshitz formula has interpretation problem in the case of real metal described by Drude model. It happens…

Quantum Physics · Physics 2009-11-07 G. L. Klimchitskaya , V. M. Mostepanenko

Recently V. A. Yampol'skii, S. Savel'ev, Z. A. Mayselis, S. S. Apostolov, and F. Nori [Phys. Rev. Lett., v.101, 096803 (2008),arXiv:0712.1395] claimed that the Casimir force between a thin metal film described by the Drude model and an…

Other Condensed Matter · Physics 2008-10-20 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

The applicability of the Lifshitz formula is discussed to the case of two thick parallel plates made of real metal. The usual description of the zero-point vacuum oscillations on the background of the frequency-dependent dielectric…

Quantum Physics · Physics 2007-05-23 V. M. Mostepanenko , A. O. Caride , G. L. Klimchitskaya , S. I. Zanette

We discuss the temperature correction to the Casimir force between nonideal metallic bodies which caused disagreement in the literature. A general method to find the troubling term is proposed that does not require a direct reference to the…

Quantum Physics · Physics 2009-11-07 V. B. Svetovoy , M. V. Lokhanin

The Casimir force between two ideal conducting surfaces is a special (zero temperature) limit of a more general theory due to Lifshitz. The temperature dependent theory includes correlations in coupled quantum and classical fluctuation…

Quantum Physics · Physics 2020-07-03 L. R. Fisher , B. W. Ninham

The frequency spectrum of the finite temperature correction to the Casimir force can be determined by the use of the Lifshitz formalism for metallic plates of finite conductivity. We show that the correction for the TE electromagnetic modes…

Quantum Physics · Physics 2007-05-23 J. R. Torgerson , S. K. Lamoreaux

The frequency spectrum of the finite temperature correction to the Casimir force can be determined by use of the Lifshitz formalism for metallic plates of finite conductivity. We show that the correction for the $TE$ electromagnetic modes…

Quantum Physics · Physics 2007-05-23 J. R. Torgerson , S. K. Lamoreaux

The problem of thermal Casimir force, which consists in disagreement of theoretical predictions of the fundamental Lifshitz theory with the measurement data of high precision experiments and some peculiar properties of the Casimir entropy,…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , V. M. Mostepanenko

The plausible resolution of the Casimir puzzle implying that the dissipative Drude model is not applicable in the area of transverse electric evanescent waves is discussed. Calculations show that for the propagating waves, as well for the…

Quantum Physics · Physics 2025-06-19 V. M. Mostepanenko , G. L. Klimchitskaya

The situation with the temperature corrections to the Casimir force between real metals of finite conductivity is reported. It is shown that the plasma dielectric function is well adapted to the Lifshitz formula and leads to reasonable…

Quantum Physics · Physics 2009-11-07 G. L. Klimchitskaya

It is well known that the Casimir force calculated at large separations using the Lifshitz theory differs by a factor of 2 for metals described by the Drude or plasma models. We argue that this difference is entirely determined by the…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , V. M. Mostepanenko , V. B. Svetovoy

The Lifshitz theory of dispersion forces leads to thermodynamic and experimental inconsistencies when the role of drifting charge carriers is included in the model of the dielectric response. Recently modified reflection coefficients were…

We review complicated problems in the Lifshitz theory describing the Casimir force between real material plates made of metals and dielectrics including different approaches to their resolution. It has been shown that both for metallic…

Quantum Physics · Physics 2021-04-06 V. M. Mostepanenko

The application of the Lifshitz theory to describe the thermal Casimir force between dielectrics and semiconductors is considered. It is shown that for all true dielectrics (i.e., for all materials having zero conductivity at zero…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , B. Geyer
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