Repulsive Casimir force: Sufficient conditions

We consider the Casimir interaction between perfectly conducting and infinitely permeable corrugated parallel plates. We first study smooth plates which face each other at the distance H with mixed boundary conditions (BCs) and show that the Casimir force is repulsive between them. Then we consider the effect of corrugation on the Casimir interaction. We investigate two geometries with mixed BCs, one with a corrugated plate and a flat plate (cf) and another with two corrugated surfaces. For the geometry of cf, at small distances the correction to the Casimir energy is E N,D cf ∼ +hca 2 H 5 , while at large distances E N,D cf

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“…This force is repulsive and our result is in agreement with the results of Refs. [10,11,[31][32][33][34].…”

Section: Normal Casimir Force Between Two Flat Platesmentioning

confidence: 99%

Repulsive Casimir interaction between conducting and permeable corrugated plates

Kiani

Sarabadani

2012

Phys. Rev. A

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“…In this paper, however, we will concentrate on another interesting theoretical issue which, to the best of our knowledge, has not been addressed so far: on the possibility of having repulsive Casimir-Lifshitz forces in moving dielectrics. The so-called Casimir repulsion is known to appear between electrically and magnetically polarizable objects in vacuum [9][10][11][12], or between dielectric objects of different permittivity that are immersed in a dielectric fluid of an intermediate permittivity [13][14][15]. Very recently, ultralongrange repulsive forces in piston configurations involving cut metallic nanorods have been reported [16].…”

Section: Introductionmentioning

confidence: 99%

Casimir repulsion in moving media

Maslovski

2011

Phys. Rev. A

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Casimir-Lifshitz interaction emerging from relative movement of layers in stratified dielectric media (e.g., non-uniformly moving fluids) is considered. It is shown that such movement may result in a repulsive Casimir-Lifshitz force exerted on the layers, with the simplest possible structure consisting of three adjacent layers of the same dielectric medium, where the middle one is stationary and the other two are sliding along a direction parallel to the interfaces of the layers.Comment: 22 pages, 10 figure

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“…Repulsive Casimir forces (see e.g. [8,9]) could allow quantum levitation and therefore avoid collapse and permanent adhesion between nearby surfaces, which is a problem for microelectromechanical systems. Moreover, repulsive Casimir forces are not just a theoretical possibility since there is some experimental evidence [10][11][12].…”

Section: Application To R × Smentioning

confidence: 99%

The Casimir spectrum revisited

Herdeiro

Sampaio

Santos

2011

Journal of Mathematical Physics

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We examine the mathematical and physical significance of the spectral density sigma(omega) introduced by Ford [Phys. Rev. D 38, 528 (1988)], defining the contribution of each frequency to the renormalised energy density of a quantum field. Firstly, by considering a simple example, we argue that sigma(omega) is well defined, in the sense of being regulator independent, despite an apparently regulator dependent definition. We then suggest that sigma(omega) is a spectral distribution, rather than a function, which only produces physically meaningful results when integrated over a sufficiently large range of frequencies and with a high energy smooth enough regulator. Moreover, sigma(omega) is seen to be simply the difference between the bare spectral density and the spectral density of the reference background. This interpretation yields a simple "rule of thumb" to writing down a (formal) expression for sigma(omega) as shown in an explicit example. Finally, by considering an example in which the sign of the Casimir force varies, we show that the spectrum carries no manifest information about this sign; it can only be inferred by integrating sigma(omega). (C) 2011 American Institute of Physics. [doi:10.1063/1.3614003

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Repulsive Casimir force: Sufficient conditions

Cited by 9 publications

References 25 publications

Repulsive Casimir interaction between conducting and permeable corrugated plates

Repulsive Casimir interaction between conducting and permeable corrugated plates

Casimir repulsion in moving media

The Casimir spectrum revisited

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