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We review recent results obtained in the physics of the thermal Casimir force acting between two dielectrics, dielectric and metal, and between metal and semiconductor. The detailed derivation for the low-temperature behavior of the Casimir…

Quantum Physics · Physics 2007-05-23 B. Geyer , 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

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

The Casimir force and free energy at low temperatures has been the subject of focus for some time. We calculate the temperature correction to the Casimir-Lifshitz free energy between two parallel plates made of dielectric material…

Quantum Physics · Physics 2016-08-14 Simen A. Ellingsen , Iver Brevik , Johan S. Høye , Kimball A. Milton

The energy of fluctuating electromagnetic field is investigated for the thermal Casimir force acting between parallel plates made of real metal. It is proved that for nondissipative media with temperature independent dielectric permittivity…

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

We investigate the thermodynamical aspects of the Casimir effect in the case of plane parallel plates made of real metals. The thermal corrections to the Casimir force between real metals were recently computed by several authors using…

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

The Casimir mutual free energy F for a system of two dielectric concentric nonmagnetic spherical bodies is calculated, at arbitrary temperatures. The present paper is a continuation of an earlier investigation [Phys. Rev. E {\bf 63}, 051101…

Quantum Physics · Physics 2008-12-18 I. Brevik , J. B. Aarseth , J. S. Høye

Zero-frequency Casimir theory is analyzed from different viewpoints, focusing on the Drude-plasma issue that turns up when one considers thermal corrections to the Casimir force. The problem is that the plasma model, although leaving out…

Quantum Physics · Physics 2016-05-11 Johan S. Høye , Iver Brevik

The Casimir free energy and pressure of thin metal films deposited on metallic plates are considered using the Lifshitz theory and the Drude and plasma model approaches to the role of conduction electrons. The bound electrons are taken into…

Quantum Physics · Physics 2016-04-21 G. L. Klimchitskaya , V. M. Mostepanenko

We calculate the Casimir interaction between a sphere and a plate, both described by the plasma model, the Drude model, or generalizations of the two models. We compare the results at both zero and finite temperatures. At asymptotically…

Statistical Mechanics · Physics 2015-05-18 Roya Zandi , Thorsten Emig , Umar Mohideen

The universal analytic expressions in the limit of low temperatures (short separations) are obtained for the free energy, entropy and pressure between the two parallel plates made of any dielectric. The analytical proof of the Nernst heat…

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

Casimir entropies due to quantum fluctuations in the interaction between electrical bodies can often be negative, either caused by dissipation or by geometry. Although generally such entropies vanish at zero temperature, consistent with the…

High Energy Physics - Theory · Physics 2016-10-19 Yang Li , K. A. Milton , Pushpa Kalauni , Prachi Parashar

We investigate the Casimir free energy of a metallic film either sandwiched between two dielectric plates or in vacuum. It is shown that even for a thin film of several tens of nanometer thickness the Casimir free energy and pressure…

Quantum Physics · Physics 2015-10-20 G. L. Klimchitskaya , V. M. Mostepanenko

One general consequence of the Nernst theorem is derived, i.e., the various heat capacities of a thermodynamic system under different constraints approach zero as the temperature approaches absolute zero. The temperature dependence of the…

Statistical Mechanics · Physics 2023-03-15 Shanhe Su , Yinghui Zhou , Guozhen Su , Jincan Chen

We derive the low-temperature behavior of the Casimir-Polder free energy for a polarizable atom interacting with graphene sheet which possesses the nonzero energy gap $\Delta$ and chemical potential $\mu$. The response of graphene to the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 G. L. Klimchitskaya , V. M. Mostepanenko

We calculate the Casimir energy and entropy for two spheres described by the perfect metal model, plasma model, and Drude model in the large separation limit. We obtain nonmonotonic behavior of the Helmholtz free energy with separation and…

Statistical Mechanics · Physics 2015-05-28 Pablo Rodriguez-Lopez

It was recently found that thermodynamic anomalies which arise in the Casimir effect between metals described by the Drude model can be attributed to the interaction of fluctuating Foucault (or eddy) currents [Phys. Rev. Lett. 103, 130405…

Quantum Physics · Physics 2014-11-21 F. Intravaia , Simen Å. Ellingsen , C. Henkel

The Casimir mutual free energy F for a system of two dielectric concentric nonmagnetic spherical bodies is calculated, at arbitrary temperatures. Whereas F has recently been evaluated for the special case of metals (refractive index…

Quantum Physics · Physics 2007-05-23 I. Brevik , J. B. Aarseth , J. S. Høye

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

We consider the Casimir-Helmholtz free energy at nonzero temperature $T$ for a circular cylinder and perfectly conducting wedge closed by a cylindrical arc, either perfectly conducting or isorefractive. The energy expression at nonzero…

High Energy Physics - Theory · Physics 2012-03-23 Simen Å. Ellingsen , Iver Brevik , Kimball A. Milton