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The geometry dependence of Casimir forces is significantly more pronounced in the presence of thermal fluctuations due to a generic geometry-temperature interplay. We show that the thermal force for standard sphere-plate or cylinder-plate…

High Energy Physics - Theory · Physics 2014-11-20 Alexej Weber , Holger Gies

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 this Letter we study the entanglement of a quantum radiation field interacting with a dielectric medium. In particular, we describe the quantum mixed state of a field interacting with a dielectric through plasma and Drude models and show…

Quantum Physics · Physics 2012-08-16 Israel Klich

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

One of the most intriguing manifestations of quantum zero-point fluctuations are the van der Waals and Casimir forces, often associated with vacuum fluctuations of the electromagnetic field. Here we study generalized fluctuation potentials…

Quantum Physics · Physics 2018-05-01 Ephraim Shahmoon , Ulf Leonhardt

We present boundary conditions for the electromagnetic fields on a \delta-function plate, having both electric and magnetic properties, sandwiched between two magneto-electric semi-infinite half spaces. The optical properties for an…

High Energy Physics - Theory · Physics 2017-06-13 Kimball A. Milton , Prachi Parashar , Martin Schaden , K. V. Shajesh

The new exact formulas for the attractive Casimir force acting on each of the two perfectly conducting plates moving freely inside an infinite perfectly conducting cylinder with the same cross section are derived at zero and finite…

High Energy Physics - Theory · Physics 2007-05-23 Valery N. Marachevsky

A fundamental prediction of quantum mechanics is that there are random fluctuations everywhere in a vacuum because of the zero-point energy. Remarkably, quantum electromagnetic fluctuations can induce a measurable force between neutral…

Quantum Physics · Physics 2022-02-22 Zhujing Xu , Xingyu Gao , Jaehoon Bang , Zubin Jacob , Tongcang Li

We investigate the nontrivial interplay between geometry and temperature in the Casimir effect for the sphere-plate and cylinder-plate configurations. At low temperature, the thermal contribution to the Casimir force is dominated by this…

High Energy Physics - Theory · Physics 2010-12-24 Alexej Weber , Holger Gies

We consider the Casimir interaction between two spheres at zero and finite temperature, for both scalar fields and electromagnetic fields. Of particular interest is the asymptotic expansions of the Casimir free energy when the distance…

Quantum Physics · Physics 2015-06-03 L. P. Teo

A theory and numerical findings are presented on the magnetic Casimir interaction that arises from vacuum fluctuations of the quantized field and its effects at the nuclear scale. We investigate how the zero-temperature Casimir effect at…

Quantum Physics · Physics 2025-10-29 S. K. Panja , L. Inacio , S. Pal , M. Boström

Thermal fluctuations of a critical system induce long-ranged Casimir forces between objects that couple to the underlying field. For two dimensional (2D) conformal field theories (CFT) we derive an exact result for the Casimir interaction…

Statistical Mechanics · Physics 2014-10-30 G. Bimonte , T. Emig , M. Kardar

We investigate the thermodynamical aspects of the Casimir effect in the case of plane parallel plates made of real metals. The thermal corrections to the Casimir force between real metals were recently computed by several authors using…

Quantum Physics · Physics 2009-11-07 V. B. Bezerra , G. L. Klimchitskaya , V. M. Mostepanenko

We analyze the magnetic dipole contribution to atom-surface dispersion forces. Unlike its electrical counterpart, it involves small transition frequencies that are comparable to thermal energy scales. A significant temperature dependence is…

Quantum Physics · Physics 2021-08-06 H. Haakh , F. Intravaia , C. Henkel , S. Spagnolo , R. Passante , B. Power , F. Sols

The Casimir effect, reflecting quantum vacuum fluctuations in the electromagnetic field in a region with material boundaries, has been studied both theoretically and experimentally since 1948. The forces between dielectric and metallic…

Quantum Physics · Physics 2009-11-13 Iver Brevik , Simen A. Ellingsen , Kimball A. Milton

We study the finite temperature Casimir interaction between a cylinder and a plate using the exact formula derived from the Matsubara representation and the functional determinant representation. We consider the scalar field with Dirichlet…

Quantum Physics · Physics 2011-08-12 L. P. Teo

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

In the present paper we investigate thermal fluctuation corrections to the vacuum energy at zero temperature of a conformally coupled massless scalar field whose modes propagate in the Einstein universe with a spherical boundary,…

High Energy Physics - Theory · Physics 2022-11-18 Herondy F. S. Mota , Celio R. Muniz , Valdir B. Bezerra

The new approach to the theoretical description of the thermal Casimir force between real metals is presented. It uses the plasma-like dielectric permittivity that takes into account the interband transitions of core electrons. This…

Quantum Physics · Physics 2008-11-26 V. M. Mostepanenko , B. Geyer

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