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We discuss theoretical predictions for the thermal Casimir force and compare them with available experimental data. Special attention is paid to the recent claim of the observation of that effect, as predicted by the Drude model approach.…

Quantum Physics · Physics 2015-05-30 G. L. Klimchitskaya , M. Bordag , E. Fischbach , D. Krause , V. M. Mostepanenko

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

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 derive analytic expressions for the Helmholtz free energy, Casimir force, and Casimir entropy for both one-dimensional and three-dimensional scalar fields with Dirichlet boundary conditions at finite temperature. We investigate the…

High Energy Physics - Theory · Physics 2025-05-27 Liang Chen , Yu-Jing Wang , Sheng-Yan Li

The standard expression of the high-temperature Casimir force between perfect conductors is obtained by imposing macroscopic boundary conditions on the electromagnetic field at metallic interfaces. This force is twice larger than that…

Statistical Mechanics · Physics 2009-11-11 P. R. Buenzli , Ph. A. Martin

In order to identify the basic conditions for thermal rectification we investigate a simple model with non-uniform, graded mass distribution. The existence of thermal rectification is theoretically predicted and numerically confirmed,…

Statistical Mechanics · Physics 2012-07-06 Jiao Wang , Emmanuel Pereira , Giulio Casati

We reply to the "Comment on 'The Lifshitz-Matsubara sum formula for the Casimir pressure between magnetic metallic mirrors'" [arXiv:1604.06432]. We believe the comment misrepresents our papers, and fails to provide a plausible resolution to…

Quantum Physics · Physics 2017-10-20 R Guérout , A Lambrecht , K A Milton , S Reynaud

We present the basic principles of non-local optics in connection with the calculation of the Casimir force between half-spaces and thin films. At currently accessible distances $L$, non-local corrections amount to about half a percent, but…

Quantum Physics · Physics 2009-11-11 R Esquivel-Sirvent , C Villarreal , W L Mochán , A M Contreras-Reyes , V B Svetovoy

The correct description of the standard Casimir effect for periodic boundary conditions via light front formalism implies in these conditions imposed at fixed Minkowski times [Almeida {\it et al.} Phys. Rev. {\bf D 87}, 065028 (2013);…

High Energy Physics - Theory · Physics 2015-01-07 P. L. M. Rodrigues , Silvana Perez , Danilo T. Alves , Van Sérgio Alves , Charles R. Silva

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 study Casimir interactions between cylinders in thermal non-equilibrium, where the objects as well as the environment are held at different temperatures. We provide the general formula for the force, in a one reflection approximation,…

Quantum Physics · Physics 2013-01-17 Vladyslav A. Golyk , Matthias Krüger , M. T. Homer Reid , Mehran Kardar

In any medium there are fluctuations due to temperature or due to the quantum nature of its constituents. If a material body is immersed into such a medium, its shape and the properties of its constituents modify the properties of the…

Statistical Mechanics · Physics 2022-12-27 D. M. Dantchev , S. Dietrich

The surface impedance approach to the description of the thermal Casimir effect in the case of real metals is elaborated starting from the free energy of oscillators. The Lifshitz formula expressed in terms of the dielectric permittivity…

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

The phenomena implied by the existence of quantum vacuum fluctuations, grouped under the title of the Casimir effect, are reviewed, with emphasis on new results discovered in the past four years. The Casimir force between parallel plates is…

High Energy Physics - Theory · Physics 2011-07-19 Kimball A. Milton

In this article, we derive the formula for the Casimir force acting on a piston made of real material moving inside a perfectly conducting rectangular box. It is shown that by taking suitable limits, one recovers the formula for the Casimir…

High Energy Physics - Theory · Physics 2014-11-20 L. P. Teo

We study the nonequilibrium Casimir-Polder force on an atom prepared in an incoherent superposition of internal energy-eigenstates, which is placed in a magnetoelectric environment of nonuniform temperature. After solving the coupled…

Quantum Physics · Physics 2010-01-04 Stefan Yoshi Buhmann , Stefan Scheel

The Casimir-Polder force is analyzed when an atom is moving at a constant velocity relative to a collection of translationally invariant macroscopic bodies with generic shapes and compositions. The interaction is described within an…

Quantum Physics · Physics 2026-02-19 D. Reiche , B. Beverungen , K. Busch , F. Intravaia

We find the Casimir-like energies for strings and membranes. We show that the related Casimir forces can be interpreted as quantum corrections to the classical tensions of the strings and membranes. We see that these corrections always…

High Energy Physics - Theory · Physics 2014-12-11 Y. Koohsarian , A. Shirzad

It is shown that the violation of the positiveness of the entropy due to the Casimir-Lifshitz interaction claimed in several papers is an artifact related to an improper interpretation of the "Casimir entropy", which actually is a…

Statistical Mechanics · Physics 2015-05-20 Lev P. Pitaevskii

We discuss Casimir phenomena which are dominated by long-range fluctuations. A prime example is given by "geothermal" Casimir phenomena where thermal fluctuations in open Casimir geometries can induce significantly enhanced thermal…

High Energy Physics - Theory · Physics 2010-05-25 Holger Gies , Alexej Weber
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