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Recently, Brevik et al. [Phys. Rev. E 71, 056101 (2005)] adduced arguments against the traditional approach to the thermal Casimir force between real metals and in favor of one of the alternative approaches. The latter assumes zero…

We review the theory of the Casimir effect using scattering techniques. After years of theoretical efforts, this formalism is now largely mastered so that the accuracy of theory-experiment comparisons is determined by the level of precision…

Quantum Physics · Physics 2007-05-23 A. Lambrecht , P. A. Maia Neto , S. Reynaud

We calculate the second order roughness correction to the Casimir energy for two parallel metallic mirrors. Our results may also be applied to the plane-sphere geometry used in most experiments. The metallic mirrors are described by the…

Quantum Physics · Physics 2016-09-08 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

Within the framework of the Drude dispersive model, we predict an unusual non-monotonous temperature dependence of the Casimir force for thin metal films. For certain conditions, this force decreases with temperature due to the decrease of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. A. Yampol'skii , Sergey Savel'ev , Z. A. Mayselis , S. S. Apostolov , Franco Nori

In this paper, the finite temperature Casimir force acting on a two-dimensional Casimir piston due to electromagnetic field is computed. It was found that if mixed boundary conditions are assumed on the piston and its opposite wall, then…

High Energy Physics - Theory · Physics 2009-03-19 L. P. Teo

We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy…

High Energy Physics - Theory · Physics 2015-05-30 Hongbo Cheng

In this paper, we investigate the thermal effect on the Casimir energy associated with a massive scalar quantum field confined between two large parallel plates in a CPT-even, aether-like Lorentz-breaking scalar field theory. In order to do…

High Energy Physics - Theory · Physics 2018-07-03 M. B. Cruz , E. R. Bezerra de Mello , A. Yu. Petrov

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

The low-temperature asymptotic expressions for the Casimir interaction between two real metals described by Leontovich surface impedance are obtained in the framework of thermal quantum field theory. It is shown that the Casimir entropy…

Quantum Physics · Physics 2008-11-26 V. B. Bezerra , G. Bimonte , G. L. Klimchitskaya , V. M. Mostepanenko , C. Romero

We calculate the roughness correction to the Casimir effect in the parallel plates geometry for metallic plates described by the plasma model. The calculation is perturbative in the roughness amplitude with arbitrary values for the plasma…

Quantum Physics · Physics 2007-05-23 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We investigate the thermal Casimir force between two parallel plates made of different isotropic materials which are separated by a uniaxial anisotropic film. Numerical computations of the Casimir pressure at T=300K are performed using the…

Quantum Physics · Physics 2015-08-24 V. M. Mostepanenko

Casimir forces in quantum electrodynamics emerge between microscopic metallic objects because of the confinement of the vacuum electromagnetic fluctuations occurring even at zero temperature. Their generalization at finite temperature and…

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

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

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

We calculate the low temperature corrections to the free energy for a sphere in front of a plane. First, the scalar field obeying Dirichet or Neumann boundary conditions is considered. Second, the electromagnetic field is studied, the…

Quantum Physics · Physics 2015-05-19 Michael Bordag , Irina G. Pirozhenko

When masless excitations are limited or modified by the presence of material bodies one observes a force atcing between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

Statistical Mechanics · Physics 2016-04-27 Daniel M. Dantchev , Vassil M. Vassilev , Peter A. Djondjorov

The Casimir-Lifhitz force acts between neutral material bodies and is due to the fluctuations (around zero) of the electrical polarizations of the bodies. This force is a macroscopic manifestation of the van der Waals forces between atoms…

Quantum Physics · Physics 2022-01-28 Iver Brevik , Boris Shapiro

The problem with the temperature dependence of the Casimir force is investigated. Specifically, the entropy behavior in the low temperature limit, which caused debates in the literature, is analyzed. It is stressed that the behavior of the…

Quantum Physics · Physics 2009-11-11 V. Svetovoy , R. Esquivel-Sirvent

The surface impedance approach is discussed in connection with the precise calculation of the Casimir force between metallic plates. It allows to take into account the nonlocal connection between the current density and electric field…

Quantum Physics · Physics 2009-11-10 R. Esquivel , V. Svetovoy
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