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A complete thermodynamic treatment of the Casimir effect is presented. Explicit expressions for the free and the internal energy, the entropy and the pressure are discussed. As an example we consider the Casimir effect with different…

Quantum Physics · Physics 2011-10-11 H. Mitter , D. Robaschik

We find the low-temperature behavior of the Casimir-Polder free energy and entropy for an atom interacting with real graphene sheet possessing nonzero energy gap and chemical potential. Employing the formalism of the polarization tensor, it…

Quantum Physics · Physics 2020-02-06 G. L. Klimchitskaya

We calculate the Casimir energy and entropy for two perfect metal spheres in the large and short separation limit. We obtain nonmonotonic behavior of the Helmholtz free energy with separation and temperature, leading to parameter ranges…

Quantum Physics · Physics 2014-01-28 Pablo Rodriguez-Lopez

The low-temperature behavior of the Casimir-Polder free energy and entropy for an atom near a dielectric plate are found on the basis of the Lifshitz theory. The obtained results are shown to be thermodynamically consistent if the dc…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

We give a rigorous analytical derivation of low-temperature behavior of the Casimir entropy in the framework of the Lifshitz formula combined with the Drude dielectric function. An earlier result that the Casimir entropy at zero temperature…

Quantum Physics · Physics 2009-11-10 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko , C. Romero

We study the quantum and thermal fluctuations of eddy (Foucault) currents in thick metallic plates. A Casimir interaction between two plates arises from the coupling via quasi-static magnetic fields. As a function of distance, the relevant…

Quantum Physics · Physics 2021-08-06 Francesco Intravaia , Carsten Henkel

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

Recently, H{\o}ye, Brevik, Ellingsen and Aarseth (quant-ph/0703174) claimed that the use of the Drude dielectric function leads to zero Casimir entropy at zero temperature in accordance with Nernst's theorem. We demonstrate that their proof…

Quantum Physics · Physics 2008-11-26 G. L. Klimchitskaya , V. M. Mostepanenko

We have performed a precise experimental determination of the Casimir pressure between two gold-coated parallel plates by means of a micromachined oscillator. In contrast to all previous experiments on the Casimir effect, where a small…

Quantum Physics · Physics 2016-08-16 G. L. Klimchitskaya , R. S. Decca , E. Fischbach , D. E. Krause , D. López , V. M. Mostepanenko

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…

Quantum Physics · Physics 2020-03-18 G. -L. Ingold , G. L. Klimchitskaya , V. M. Mostepanenko

The temperature dependence of the Casimir force between a real metallic plate and a metallic sphere is analyzed on the basis of optical data concerning the dispersion relation of metals such as gold and copper. Realistic permittivities…

Quantum Physics · Physics 2009-01-14 I. Brevik , J. B. Aarseth , J. S. Høye , K. A. Milton

We study the Casimir effect with different temperatures between the plates ($T$) resp. outside of them ($T'$). If we consider the inner system as the black body radiation for a special geometry, then contrary to common belief the…

Quantum Physics · Physics 2007-05-23 H. Mitter , D. Robaschik

The Casimir interaction between one-dimensional metallic objects (cylinders, wires) displays unconventional features. Here we study the orientation dependence of this interaction by computing the Casimir energy between two inclined…

Quantum Physics · Physics 2014-10-30 P. Rodriguez-Lopez , T. Emig

The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is…

High Energy Physics - Theory · Physics 2016-07-26 Hongbo Cheng

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

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

Starting from an analytical expression for the Helmholtz free energy we calculate the thermal corrections to the Casimir energy-density and entropy within nearby ideal parallel plates in the vacuum of a massless scalar field. Our framework…

General Relativity and Quantum Cosmology · Physics 2017-11-23 V. B. Bezerra , H. R. Christiansen , M. S. Cunha , C. R. Muniz , M. O. Tahim

The Casimir effect at finite temperature is investigated for a dilute dielectric ball; i.e., the relevant internal and free energies are calculated. The starting point in this study is a rigorous general expression for the internal energy…

High Energy Physics - Theory · Physics 2009-10-31 V. V. Nesterenko , G. Lambiase , G. Scarpetta

We investigate the thermal Casimir interaction between two magnetodielectric plates made of real materials. On the basis of the Lifshitz theory, it is shown that for diamagnets and for paramagnets in the broad sense (with exception of…

Other Condensed Matter · Physics 2010-03-09 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

Negative entropy has been known in Casimir systems for some time. For example, it can occur between parallel metallic plates modeled by a realistic Drude permittivity. Less well known is that negative entropy can occur purely geometrically,…

Quantum Physics · Physics 2015-05-14 K. A. Milton , Romain Guérout , Gert-Ludwig Ingold , Astrid Lambrecht , Serge Reynaud