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The Casimir force between macroscopic bodies is well understood, but not the Casimir stress inside bodies. Suppose empty space or a uniform medium meets a soft wall where the refractive index is continuous but its derivative jumps. For this…

Quantum Physics · Physics 2017-11-15 Itay Griniasty , Ulf Leonhardt

We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the…

Quantum Physics · Physics 2016-11-15 V. M. Mostepanenko

In this paper the Casimir effect for parallel plates at finite temperature in the presence of compactified universal extra dimensions is analyzed. We show the thermal corrections to the effect in detail. We investigate the Casimir effect…

High Energy Physics - Theory · Physics 2015-06-26 Hongbo Cheng

The Casimir-Lifshitz force arises from thermal and quantum mechanical fluctuations between classical bodies and becomes significant below the micron scale. We explore temperature-distance relations based on the concepts of Wick and Bohr…

Materials Science · Physics 2025-01-28 Mathias Bostrom , A. Gholamhosseinian , J. J. Marchetta , R. W. Corkery , I. Brevik

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

In the present work, we study a fermionic Lorentz invariance violation (LIV) theory with a CPT-even extension and analyze its impact on the Casimir effect under the MIT bag boundary condition model in a low-dimensional setting, where…

High Energy Physics - Theory · Physics 2025-11-13 K. E. L. de Farias , M. A. Anacleto , Iver Brevik , F. A. Brito , E. Passos , Amilcar Queiroz , João R. L. Santos

We propose a method of achieving large temperature sensitivity in the Casimir force that involves measuring the stable separation between dielectric objects immersed in fluid. We study the Casimir force between slabs and spheres using…

Current theory is able to predict the Casimir force between macroscopic bodies with an accuracy only limited by the knowledge of the material parameters. Yet surprisingly after almost 70 years of research, while theory describes the Casimir…

Quantum Physics · Physics 2017-10-04 Itay Griniasty , Ulf Leonhardt

We present explicitly another example of a temperature inversion symmetry in the Casimir effect for a nonsymmetric boundary condition. We also give an interpretation for our result.

Quantum Physics · Physics 2009-11-10 A. C. Aguiar Pinto , T. M. Britto , F. Pascoal , F. S. S. da Rosa

The zero-temperature Casimir-Lifshitz force between two plates moving parallel to each other at arbitrary constant speed was found in [New J. Phys. 11, 033035 (2009)]. The solution is here generalized to the case where the plates are at…

Quantum Physics · Physics 2009-05-11 T. G. Philbin , U. Leonhardt

In this work I investigate the finite temperature Casimir effect due to a massive and charged scalar field that breaks Lorentz invariance in a CPT-even, aether-like way. I study the cases of Dirichlet and mixed (Dirichlet-Neumann) boundary…

High Energy Physics - Theory · Physics 2021-08-11 Andrea Erdas

The Casimir effect for conductors at arbitrary temperatures is theoretically studied. By using the analytical properties of the Green functions and applying the Abel-Plan formula to Lifshitz's equation, the Casimir force is presented as sum…

Condensed Matter · Physics 2009-10-31 V. N. Dubrava , V. A. Yampol'skii

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 consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate…

High Energy Physics - Theory · Physics 2017-08-23 L. P. Teo , K. Kirsten

We present an entirely microscopic calculation of the Casimir force $f(d)$ between two metallic plates in the limit of large separation $d$. The models of metals consist of mobile quantum charges in thermal equilibrium with the photon field…

Quantum Physics · Physics 2009-11-13 P. R. Buenzli , Ph. A. Martin

The thermal Casimir effect in ideal metal rectangular boxes is considered using the method of zeta functional regularization. The renormalization procedure is suggested which provides the finite expression for the Casimir free energy in any…

Quantum Physics · Physics 2008-12-18 B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

We study the radiative heat transfer and the Casimir-Lifshitz force occurring between two bodies in a system out of thermal equilibrium. We consider bodies of arbitrary shape and dielectric properties, held at two different temperatures,…

Quantum Physics · Physics 2015-05-30 Riccardo Messina , Mauro Antezza

Recently J.S. Hoye, I.Brevik, J.B. Aarseth, and K.A. Milton [Phys. Rev. E v.67, 056116 (2003); quant-ph/0212125] proposed that if the Lifshitz formula is combined with the Drude model, the transverse electric zero mode does not contribute…

Quantum Physics · Physics 2007-05-23 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko

A brief review of the recent experimental verifications of the Casimir force between extended bodies is presented. With modern techniques, it now appears feasible to test the force law with 1% precision; I will address the issues relating…

Quantum Physics · Physics 2007-05-23 S. K. Lamoreaux

Through the Casimir effect, we obtain a temperature correction to the ground state mass of the Bosonic string. Accordingly, we show that higher than the temperature $\approx 1/2\pi $, the Tachyon attain real mass, and also we find massive…

High Energy Physics - Theory · Physics 2017-05-23 Y. Koohsarian , A. Shirzad