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Two thin conducting, electrically neutral, parallel plates forming an isolated system in vacuum exert attracting force on each other, whose origin is the quantum electrodynamical interaction. This theoretical hypothesis, known as Casimir…

High Energy Physics - Theory · Physics 2007-05-23 Andrzej Herdegen

We propose a new approach to the Casimir effect based on classical ray optics. We define and compute the contribution of classical optical paths to the Casimir force between rigid bodies. We reproduce the standard result for parallel plates…

Quantum Physics · Physics 2008-11-26 R. L. Jaffe , A. Scardicchio

We present the foundations of a new approach to the Casimir effect based on classical ray optics. We show that a very useful approximation to the Casimir force between arbitrarily shaped smooth conductors can be obtained from knowledge of…

Quantum Physics · Physics 2009-11-10 A. Scardicchio , R. L. Jaffe

The Casimir force provides a striking example of the effects of quantum fluctuations in a mesoscopic system. Because it arises from the objects' electromagnetic response, the necessary calculations in quantum field theory are most naturally…

Quantum Physics · Physics 2023-03-30 Giuseppe Bimonte , Thorsten Emig , Noah Graham , Mehran Kardar

The general perturbative expression for the lateral Casimir force between two plates covered by longitudinal corrugations of arbitrary shape is obtained. This expression is applicable for corrugation periods larger than the separation…

Quantum Physics · Physics 2009-11-10 E. V. Blagov , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

The proximity force approximation (PFA) relates the interaction between closely spaced, smoothly curved objects to the force between parallel plates. Precision experiments on Casimir forces necessitate, and spur research on, corrections to…

Quantum Physics · Physics 2014-10-30 G. Bimonte , T. Emig , R. L. Jaffe , M. Kardar

Due to their collective nature Casimir forces can strongly depend on the geometrical shape of the interacting objects. We study the effect of strong periodic shape deformations of two ideal metal plates on their quantum interaction. A…

Statistical Mechanics · Physics 2009-11-10 Rauno Buescher , Thorsten Emig

This paper extends our recent study on Casimir friction forces for dielectric plates moving parallel to each other [J. S. H{\o}ye and I. Brevik, Eur. Phys. J. D {\bf 68}, 61 (2014)], to the case where the plates are no longer restricted to…

Quantum Physics · Physics 2015-06-11 Johan S. Høye , Iver Brevik

The Casimir force is calculated analytically for configurations of two parallel plates and a spherical lens (sphere) above a plate with account of nonzero temperature, finite conductivity of the boundary metal and surface roughness. The…

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

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

We compute Casimir forces in open geometries with edges, involving parallel as well as perpendicular semi-infinite plates. We focus on Casimir configurations which are governed by a unique dimensional scaling law with a universal…

Quantum Physics · Physics 2008-11-26 Holger Gies , Klaus Klingmuller

The Casimir force between two metallic plates is affected by their roughness state. This effect is usually calculated through the so-called `proximity force approximation' which is only valid for small enough wavevectors in the spectrum of…

Quantum Physics · Physics 2007-05-23 Cyriaque Genet , Astrid Lambrecht , Paulo Maia Neto , Serge Reynaud

We study the classical thermal component of Casimir, or van der Waals, forces between point particles with highly anharmonic dipole Hamiltonians when they are subjected to an external electric field. Using a model for which the individual…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Heino Soo , David Dean , Matthias Krüger

The exact critical Casimir force between periodically deformed boundaries of a 2D semi-infinite strip is obtained for conformally invariant classical systems. Only two parameters (conformal charge and scaling dimension of a boundary…

Statistical Mechanics · Physics 2015-03-03 G. Bimonte , T. Emig , M. Kardar

We study the lateral Casimir force experienced by a particle that rotates near a planar surface. The origin of this force lies in the symmetry breaking induced by the particle rotation in the vacuum and thermal fluctuations of its dipole…

The force experienced by objects embedded in a correlated medium undergoing thermal fluctuations--the so-called fluctuation--induced force--is actually itself a fluctuating quantity. We compute the corresponding probability distribution and…

Soft Condensed Matter · Physics 2016-08-31 Denis Bartolo , Armand Ajdari , Jean-Baptiste Fournier , Ramin Golestanian

Quantum fluctuations give rise to van der Waals and Casimir forces that dominate the interaction between electrically neutral objects at sub-micron separations. Under the trend of miniaturization, such quantum electrodynamical effects are…

Mesoscale and Nanoscale Physics · Physics 2013-05-20 J. Zou , Z. Marcet , A. W. Rodriguez , M. T. H. Reid , A. P. McCauley , I. I. Kravchenko , T. Lu , Y. Bao , S. G. Johnson , H. B. Chan

We give a comprehensive presentation of methods for calculating the Casimir force to arbitrary accuracy, for any number of objects, arbitrary shapes, susceptibility functions, and separations. The technique is applicable to objects immersed…

Quantum Physics · Physics 2010-08-23 Sahand Jamal Rahi , Thorsten Emig , Noah Graham , Robert L. Jaffe , Mehran Kardar

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…

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko