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We derive analytically the asymptotic behavior of the Casimir interaction between a sphere and a plate when the distance between them, $d$, is much smaller than the radius of the sphere, $R$. The leading order and next-to-leading order…

Quantum Physics · Physics 2013-08-28 L. P. Teo

A theory is proposed for the component of the Casimir-like force that arises between bodies embedded in a macroscopic quantum damped oscillator. When the oscillator's parameters depend on the distance between the bodies, the…

Quantum Physics · Physics 2026-02-16 Yu. S. Barash

The Van Kampen method is used to calculate the Casimir force for two dielectric layers. Several terms of Lorentz oscillators are used in the permittivity model. A conductive dielectric (metal) with the Drude model is considered as a special…

Quantum Physics · Physics 2025-08-04 Michael Davidovich

We study the effects of the oscillating axion field present in our environment on the Casimir pressure between two metallic plates. We take into account the finite conductivity of the boundary plates and model the interactions between…

High Energy Physics - Theory · Physics 2025-03-31 Philippe Brax , Pierre Brun

Both theoretical interest and practical significance attach to the sign and strength of Casimir forces. A famous, discouraging no-go theorem states that "The Casimir force between two bodies with reflection symmetry is always attractive."…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Qing-Dong Jiang , Frank Wilczek

The electromagnetic Casimir interaction between dielectric objects immersed in salted water includes a universal contribution that is not screened by the solvent and therefore long-ranged. Here, we study the geometry of two parallel…

Electromagnetism in substance is characterized by permittivity (dielectric constant) and permeability (magnetic permeability). They describe the substance property {\it effectively}. We present a {\it geometric} approach to it. Some models…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 Shoichi Ichinose

We study the Casimir effect in axion electrodynamics. A finite $\theta$-term affects the energy dispersion relation of photon if $\theta$ is time and/or space dependent. We focus on a special case with linearly inhomogeneous $\theta$ along…

High Energy Physics - Theory · Physics 2019-08-21 Kenji Fukushima , Shota Imaki , Zebin Qiu

In this paper we investigate the influence of ultra thin water layer (1-1.5 nm) on the van der Waals/Casimir force between gold surfaces. Adsorbed water is inevitably present on gold surfaces at ambient conditions as jump-up-to contact…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 G. Palasantzas , V. B. Svetovoy , P. J. van Zwol

The fluctuation-induced, Casimir-like interaction between two parallel rods of length L adsorbed on a fluid membrane is calculated analytically at short separations d<<L. The rods are modeled as constraints imposed on the membrane curvature…

Soft Condensed Matter · Physics 2011-11-11 Anne-Florence Bitbol , Kévin Sin Ronia , Jean-Baptiste Fournier

The Casimir interaction between one-dimensional metallic objects (cylinders, wires) displays unconventional features. Here we study the orientation dependence of this interaction by computing the Casimir energy between two inclined…

Quantum Physics · Physics 2014-10-30 P. Rodriguez-Lopez , T. Emig

Achieving strong repulsive Casimir forces through engineered coatings can pave the way for micro- and nano-electromechanical applications where adhesive forces currently cause reliability issues. Here, we exploit Lifshitz theory to identify…

Quantum Physics · Physics 2022-11-01 Zhou Li , Chinmay Khandekar

The Casimir effect for parallel plates in the presence of compactified universal extra dimensions within the frame of Kaluza-Klein theory is analyzed. Having regularized and discussed the expressions of Casimir force in the limit, we show…

High Energy Physics - Theory · Physics 2008-11-26 Hongbo Cheng

The zero-point quantum fluctuations of the electromagnetic field in vacuum are known to give rise to a long-range attractive force between metal plates (Casimir effect). For ferromagnetic layers separated by vacuum, it is shown that the…

Quantum Physics · Physics 2009-11-07 P. Bruno

After a short recall of our previous standing wave approach to the Casimir force problem, we consider Lifshitz's temperature Green's function method and its virtues from a physical point of view. Using his formula, specialized for perfectly…

Quantum Physics · Physics 2012-05-30 Frédéric Schuller , Renaud Savalle , Michael Neumann-Spallart

We have performed a precise experimental determination of the Casimir pressure between two gold-coated parallel plates by means of a micromachined oscillator. In contrast to all previous experiments on the Casimir effect, where a small…

Quantum Physics · Physics 2016-08-16 G. L. Klimchitskaya , R. S. Decca , E. Fischbach , D. E. Krause , D. López , V. M. Mostepanenko

We predict that a low-permittivity oblate body (disk-shaped object) above a thin metal substrate (plate with a hole) immersed in a fluidof intermediate permittivity will experience a meta-stable equilibrium (restoring force) near the center…

The properties of fluctuation induced interactions like van der Waals and Casimir-Lifshitz forces are of interest in a plethora of fields ranging from biophysics to nanotechnology. Here we describe a general approach to compute these…

Statistical Mechanics · Physics 2010-05-25 Thorsten Emig

We demonstrate that the thermal Casimir-Polder forces on molecules near a conducting surface whose transition wavelengths are comparable to the molecule-surface separation are dependent on the ambient temperature and molecular polarization…

Atomic Physics · Physics 2015-06-12 Zhiying Zhu , Hongwei Yu , Bin Wang

We develop a diagrammatic representation of the Casimir energy of a multibody configuration. The diagrams represent multiple reflections between the objects and can be organized by a few simple rules. The lowest-order diagrams (or…

Quantum Physics · Physics 2015-03-17 Mohammad F. Maghrebi