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When comparing experimental results with theoretical predictions of the Casimir force, the accuracy of the theory is as important as the precision of experiments. Here we evaluate the Casimir force when finite conductivity of the reflectors…

Quantum Physics · Physics 2009-11-07 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

Finite temperature Casimir theory of the Dirichlet scalar field is developed, assuming that there is a conventional Casimir setup in physical space with two infinitely large plates separated by a gap R and in addition an arbitrary number q…

High Energy Physics - Theory · Physics 2014-11-18 Marianne Rypestøl , Iver Brevik

In this article, we derive the finite temperature Casimir force acting on a pair of parallel plates due to a massless scalar field propagating in the bulk of a higher dimensional brane model. In contrast to previous works which used…

High Energy Physics - Theory · Physics 2009-11-23 L. P. Teo

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

Recently D. Garcia-Sanches, K. Y. Fong, H. Bhaskaran, S. Lamoreaux, and H. X. Tang [Phys. Rev. Lett. v.109, 027202 (2012)] claimed that the frequency shift of an oscillator under the influence of the residual electric and Casimir forces is…

Quantum Physics · Physics 2015-06-11 M. Bordag , G. L. Klimchitskaya , V. M. Mostepanenko

The Casimir force and free energy at low temperatures has been the subject of focus for some time. We calculate the temperature correction to the Casimir-Lifshitz free energy between two parallel plates made of dielectric material…

Quantum Physics · Physics 2016-08-14 Simen A. Ellingsen , Iver Brevik , Johan S. Høye , 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

Recently the influence of dielectric and geometrical properties on the Casimir force between dispersing and absorbing multilayered plates in the zero-temperature limit has been studied within a 1D quantization scheme for the electromagnetic…

Quantum Physics · Physics 2016-08-16 Christian Raabe , Ludwig Knöll , Dirk-Gunnar Welsch

We present a quantum theory of Casimir forces between perfect electrical conductors, based on quantum electrodynamics and quantum statistical physics. This theory utilizes Kapusta's finite-temperature field theory, combined with the…

Statistical Mechanics · Physics 2025-11-14 P. E. Brandyshev , Yu. A. Budkov

We review recent results obtained in the physics of the thermal Casimir force acting between two dielectrics, dielectric and metal, and between metal and semiconductor. The detailed derivation for the low-temperature behavior of the Casimir…

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

Recent work on non proper-gauge degrees of freedom in the context of the Casimir effect is reviewed. In his original paper, Casimir starts by pointing out that, when the electromagnetic field is confined between two perfectly conducting…

High Energy Physics - Theory · Physics 2020-01-01 Glenn Barnich , Martin Bonte

We study the zero and finite temperature Casimir force acting on a perfectly conducting piston with arbitrary cross section moving inside a closed cylinder with infinitely permeable walls. We show that at any temperature, the Casimir force…

High Energy Physics - Theory · Physics 2009-02-19 S. C. Lim , L. P. Teo

The Casimir effect between metal surfaces has now been well-verified at the few-percent level experimentally. However, the temperature dependence has never been observed in the laboratory, since all experiments are conducted at room…

High Energy Physics - Theory · Physics 2014-01-28 K. A. Milton , Iver Brevik , Simen A. Ellingsen

Systems with an O(n) symmetrical Hamiltonian are considered in a $d$-dimensional slab geometry of macroscopic lateral extension and finite thickness $L$ that undergo a continuous bulk phase transition in the limit $L\to\infty$. The…

Statistical Mechanics · Physics 2008-03-14 Daniel Grüneberg , H. W. Diehl

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

In a recent letter [Phys. Rev. Lett. 91, 220801 (2003)], V. Mkrtchian and co-workers calculated the radiation pressure force on a moving body, assuming the electromagnetic field to be at temperature $T,$ and the velocity to be much smaller…

Quantum Physics · Physics 2007-05-23 P. A. Maia Neto , C. Farina

We consider the Casimir-Helmholtz free energy at nonzero temperature $T$ for a circular cylinder and perfectly conducting wedge closed by a cylindrical arc, either perfectly conducting or isorefractive. The energy expression at nonzero…

High Energy Physics - Theory · Physics 2012-03-23 Simen Å. Ellingsen , Iver Brevik , Kimball A. Milton

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

The application of the Lifshitz theory to describe the thermal Casimir force between dielectrics and semiconductors is considered. It is shown that for all true dielectrics (i.e., for all materials having zero conductivity at zero…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , B. Geyer