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We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

We discuss the fluctuation-induced force, a finite-temperature analog of the Casimir force, between two inclusions embedded in a fluid membrane under tension. We suggest a method to calculate this Casimir interaction in the most general…

Soft Condensed Matter · Physics 2015-05-19 Hsiang-Ku Lin , Roya Zandi , Umar Mohideen , Leonid P. Pryadko

The mapping between a classical length and inverse temperature as imaginary time provides a direct equivalence between the Casimir force of a classical system in $D$ dimensions and internal energy of a quantum system in $d$$=$$D$$-$$1$…

Quantum mechanics predicts the occurrence of random electromagnetic field fluctuations, or virtual photons, in vacuum. The exchange of virtual photons between two bodies in relative motion could lead to non-contact quantum vacuum friction…

Quantum Physics · Physics 2024-03-12 Zhujing Xu , Peng Ju , Kunhong Shen , Yuanbin Jin , Zubin Jacob , Tongcang Li

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

Depending on the point of view, the Casimir force arises from variation in the energy of the quantum vacuum as boundary conditions are altered or as an interaction between atoms in the materials that form these boundary conditions. Standard…

High Energy Physics - Theory · Physics 2021-02-03 S. S. Chabysheva , J. R. Hiller

We study Casimir forces on the partition in a closed box (piston) with perfect metallic boundary conditions. Related closed geometries have generated interest as candidates for a repulsive force. By using an optical path expansion we solve…

Quantum Physics · Physics 2008-11-26 M. P. Hertzberg , R. L. Jaffe , M. Kardar , A. Scardicchio

In this paper we show how the stochastic quantization method developed by Parisi and Wu can be used to obtain Casimir forces. Both quantum and thermal fluctuations are taken into account by a Langevin equation for the field. The method…

Quantum Physics · Physics 2015-05-30 Pablo Rodriguez-Lopez , Ricardo Brito , Rodrigo Soto

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

We study a quantum model of dynamical Casimir effect in an optical cavity enclosed by a freely moving mirror attached to a harmonic spring. The quantum fluctuations of the friction force exerted by the dynamical Casimir emission onto the…

Quantum Physics · Physics 2020-01-29 Salvatore Butera , Iacopo Carusotto

We consider the Casimir energy due to a massless scalar field in a geometry of an infinite wedge closed by a Dirichlet circular cylinder, where the wedge is formed by $\delta$-function potentials, so-called semitransparent boundaries. A…

High Energy Physics - Theory · Physics 2010-01-07 Kimball A. Milton , Jef Wagner , Klaus Kirsten

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

Charge fluctuations in nano-circuits with capacitor components are shown to give rise to a novel type of long-ranged interaction, which co-exist with the regular Casimir/van der Waals force. The developed theory distinguishes between…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 D. Drosdoff , Igor V. Bondarev , Allan Widom , Rudolph Podgornik , Lilia M. Woods

The Casimir force was predicted in 1948 as a force arising between macroscopic bodies from the zero-point energy. At finite temperatures it has been shown that a thermal Casimir force exists due to thermal rather than zero-point energy and…

The Casimir force between metallic plates made of realistic materials is evaluated for distances in the nanometer range. A spectrum over real frequencies is introduced and shows narrow peaks due to surface resonances (plasmon polaritons or…

The Casimir effect describes the attractive force arising due to quantum fluctuations of the vacuum electromagnetic field between closely spaced conducting plates. Traditionally, zeta-regularization is employed in calculations to address…

Quantum Physics · Physics 2024-06-12 Ching-Hsuan Yen

The mechanical action on matter of the electromagnetic field emitted by a fluctuating source is governed by its statistics. In particular, thermal sources and vacuum fluctuations exert on bodies those well-known Casimir (C) and Van der…

Optics · Physics 2014-10-28 Manuel Nieto-Vesperinas , Juan Miguel Auñón

Source radiation (radiation reaction) and vacuum-field fluctuations can be seen as two inseparable contributions to processes such as spontaneous emission, the Lamb shift, or the Casimir force. Here, we propose how they can be individually…

Quantum Physics · Physics 2023-11-15 Frieder Lindel , Alexa Herter , Jérôme Faist , Stefan Yoshi Buhmann

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 compute the force on a small neutral polarizable object moving at velocity $\vec v$ relative to a photon gas equilibrated at a temperature $T$ We find a drag force linear in $\vec v$. Its physical basis is identical to that in recent…

Soft Condensed Matter · Physics 2009-11-10 Vanik Mkrtchian , V. Adrian Parsegian , Rudi Podgornik , Wayne M. Saslow
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