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We find the low-temperature behavior of the Casimir-Polder free energy for a polarizable and magnetizable atom interacting with a plate made of ferromagnetic dielectric material. It is shown that the corresponding Casimir-Polder entropy…

Quantum Physics · Physics 2020-03-24 C. C. Korikov , V. M. Mostepanenko

The Casimir friction problem for dielectric plates that move parallel to each other is treated by assuming one of the plates to be at rest. The other performs a closed loop motion in the longitudinal direction. Therewith by use of energy…

Quantum Physics · Physics 2014-03-27 Johan S. Høye , Iver Brevik

This paper has been withdrawn, because relevant publications, related to the subject of the paper, were overlooked by the author.

Quantum Physics · Physics 2007-05-23 Giuseppe Bimonte

In this Reply to the preceding Comment of Klimchitskaya and Mostepanenko (cf. also quant-ph/0703214), we summarize and maintain our position that the Drude dispersion relation when inserted in the Lifshitz formula gives a thermodynamically…

Quantum Physics · Physics 2016-08-17 Johan S. Høye , Iver Brevik , Simen A. Ellingsen , Jan B. Aarseth

The violation of the third law of thermodynamics for metals described by the Drude model and for dielectrics with finite \DC conductivity is one of the most interesting problems in the field of the Casimir effect. It manifests itself as a…

Quantum Physics · Physics 2010-12-24 M. Bordag , I. G. Pirozhenko

The Casimir and van der Waals interaction between two dissimilar thick dielectric plates is reconsidered on the basis of thermal quantum field theory in Matsubara formulation. We briefly review two main derivations of the Lifshitz formula…

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

The Casimir force - at first a rather unexpected consequence of quantum electrodynamics - was discovered by Hendrik Casimir in Eindhoven in 1948. It predicts that two uncharged metal plates experience an attractive force because of the…

Quantum Physics · Physics 2013-12-19 Iver Brevik , Johan S. Høye

The high-temperature aspects of the Casimir force between two neutral conducting walls are studied. The mathematical model of "inert" ideal-conductor walls, considered in the original formulations of the Casimir effect, is based on the…

Statistical Mechanics · Physics 2016-08-31 Bernard Jancovici , Ladislav Samaj

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 difference of the thermal Casimir forces at different temperatures between real metals is shown to increase with a decrease of the separation distance. This opens new opportunities for the demonstration of the thermal dependence of the…

Quantum Physics · Physics 2009-11-10 F. Chen , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

Recently Philbin et al. (New J. Phys. 11 (2009) 033035; arXiv:0904.2148v3) presented a new theory of the van der Waals friction. Contrary to the previous theories they claimed that there is no "quantum friction" at zero temperature. We show…

Statistical Mechanics · Physics 2010-12-24 A. I. Volokitin , B. N. J. Persson

It is sometimes argued that the unattainability of zero temperature is a consequence of the second law of thermodynamics. Historically, the independence of the unattainability of zero temperature from the second law was proven more than 80…

Statistical Mechanics · Physics 2018-04-06 Koun Shirai

One of the most important and still unresolved problems in the field of dispersion forces, is that of determining the influence of temperature on the Casimir force between two metallic plates. While alternative theoretical approaches lead…

Quantum Physics · Physics 2009-02-10 Giuseppe Bimonte

The analytic asymptotic expressions for the Casimir free energy, pressure and entropy at low temperature in the configuration of one metal and one dielectric plate are obtained. For this purpose we develop the perturbation theory in a small…

Quantum Physics · Physics 2008-01-13 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

According to the Nernst theorem or, equivalently, the third law of thermodynamics, the absolute zero temperature is not attainable. Starting with an initial positive temperature, we show that there exist solutions to a Kelvin-Voigt model…

Analysis of PDEs · Mathematics 2024-07-03 Rufat Badal , Manuel Friedrich , Martin Kružík , Lennart Machill

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 find the analytic expressions for the Casimir free energy, entropy and pressure at low temperature in the configuration of two parallel plates made of magnetodielectic material. The cases of constant and frequency-dependent dielectic…

Quantum Physics · Physics 2015-05-14 G. L. Klimchitskaya , C. C. Korikov

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 demonstrate that Casimir-Polder potentials can be entirely independent of temperature even when allowing for the thermal photon numbers to become large at the relevant molecular transition frequencies. This statement holds for potentials…

Quantum Physics · Physics 2010-10-06 Simen A. Ellingsen , Stefan Yoshi Buhmann , Stefan Scheel

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