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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

In this paper, dedicated to the career of Tom Erber, we consider the Casimir interaction between weakly coupled bodies at nonzero temperature. For the case of semitransparent bodies, that is, ones described by delta-function potentials, we…

High Energy Physics - Theory · Physics 2010-03-18 Kimball A. Milton , Prachi Parashar , Jef Wagner , K. V. Shajesh

We present exact closed-form expressions and complete asymptotic expansions for the electrostatic force between two charged conducting spheres of arbitrary sizes. Using asymptotic expansions of the force we confirm that even like-charged…

Classical Physics · Physics 2021-04-07 Shubho Banerjee , Thomas Peters , Nolan Brown , Yi Song

The Casimir Effect is a physical manifestation of quantum fluctuations of the electromagnetic vacuum. When two metal plates are placed closely together, typically much less than a micron, the long wavelength modes between them are frozen…

Applied Physics · Physics 2018-10-23 Alexander Stange , Matthias Imboden , Josh Javor , Lawrence K. Barrett , David J. Bishop

We study the critical Casimir interaction between two spherical colloids immersed in a binary liquid mixture close to its critical demixing point. The surface of each colloid prefers one species of the mixture with the exception of a…

Statistical Mechanics · Physics 2020-04-22 Nima Farahmand Bafi , Piotr Nowakowski , Siegfried Dietrich

The electrostatic interaction between two non-identical, moderately charged colloids situated in close proximity of each other at a fluid interface is studied. By resorting to a well-justified model system, this problem is analytically…

Soft Condensed Matter · Physics 2018-04-30 Arghya Majee , Timo Schmetzer , Markus Bier

The Casimir-Polder and van der Waals interaction energy of an atom with infinitely thin sphere with finite conductivity is investigated in the framework of the hydrodynamic approach. We put the sphere into spherical cavity inside the…

Quantum Physics · Physics 2014-02-12 Nail Khusnutdinov

Two overall neutral surfaces with positive and negative charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate…

Soft Condensed Matter · Physics 2016-08-31 Ram M. Adar , David Andelman , Haim Diamant

Rydberg atoms and beams of ultracold polar molecules have become highly useful experimental tools in recent years. There is therefore a need for accessible calculations of interaction potentials between such particles and nearby surfaces…

Quantum Physics · Physics 2012-03-05 Simen Å. Ellingsen , Stefan Yoshi Buhmann , Stefan Scheel

In a recent Comment, Decca et al. [Phys. Rev. A 79, 026101 (2009); arXiv:0809.3576] discussed the origin of the anomalies recently reported by us in Phys. Rev. A 78, 036102(R) (2008); arXiv:0812.0028 . Here we restate our view, corroborated…

Quantum Physics · Physics 2009-11-13 W. J. Kim , M. Brown-Hayes , D. A. R. Dalvit , J. H. Brownell , R. Onofrio

The electrostatic force on a spherical particle near a planar surface is calculated for the cases of a uniform electric field applied in either normal or tangential direction to the surface. The particle and suspending media are assumed to…

Soft Condensed Matter · Physics 2022-10-05 Zhanwen Wang , Michael J. Miksis , Petia M. Vlahovska

Scattering theory methods make it possible to calculate the Casimir energy of a perfectly conducting elliptic cylinder opposite a perfectly conducting plane in terms of Mathieu functions. In the limit of zero radius, the elliptic cylinder…

Quantum Physics · Physics 2015-01-12 Elizabeth Noelle Blose , Biswash Ghimire , Noah Graham , Jeremy Stratton-Smith

We present calculations of the quantum and thermal Casimir interaction between real mirrors in electromagnetic fields using the scattering approach. We begin with a pedagogical introduction of this approach in simple cases where the…

Quantum Physics · Physics 2014-09-16 Astrid Lambrecht , Antoine Canaguier-Durand , Romain Guérout , Serge Reynaud

The Casimir interaction in a stack of equally spaced infinitely thin layers is investigated within the zero-frequency mode summation method. The response properties are considered to be described by a constant conductivity or by a…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Nail Khusnutdinov , Rashid Kashapov , Lilia M. Woods

We numerically evaluate the Casimir interaction energy for configurations involving two perfectly conducting eccentric cylinders and a cylinder in front of a plane. We consider in detail several special cases. For quasi-concentric…

High Energy Physics - Theory · Physics 2008-11-26 F. C. Lombardo , F. D. Mazzitelli , P. I. Villar

We present a fast and accurate method to calculate the electrostatic energy and forces of interacting particles with the boundary conditions appropriate to surfaces, i.e periodic in the two directions parallel to the surface and free in the…

Computational Physics · Physics 2009-11-13 S. Alireza Ghasemi , Alexey Neelov , Stefan Goedecker

Quantum theory predicts the existence of the Casimir force between macroscopic bodies, due to the zero-point energy of electromagnetic field modes around them. This quantum fluctuation-induced force has been experimentally observed for…

Quantum Physics · Physics 2011-08-19 A. O. Sushkov , W. J. Kim , D. A. R. Dalvit , S. K. Lamoreaux

We consider the Casimir interaction between a cylinder and a hollow cylinder, both conducting, with parallel axis and slightly different radii. The Casimir force, which vanishes in the coaxial situation, is evaluated for both small and…

We report an improved precision measurement of the Casimir force. The force is measured between a large Al coated sphere and flat plate using an Atomic Force Microscope. The primary experimental improvements include the use of smoother…

Quantum Physics · Physics 2009-07-09 Anushree Roy , Chiung-Yuan Lin , U. Mohideen

The subtle interplay between critical phenomena and electrostatics is investigated by considering the effective force acting on two parallel walls confining a near-critical binary liquid mixture with added salt. The ion-solvent coupling can…

Soft Condensed Matter · Physics 2011-09-13 Markus Bier , Andrea Gambassi , Martin Oettel , S. Dietrich