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When one studies the Casimir effect, the periodic (anti-periodic) boundary condition is usually taken to mimic a periodic (anti-periodic) structure for a scalar field living in a flat space with a non-Euclidean topology. However, there…

High Energy Physics - Theory · Physics 2014-01-07 Chao-Jun Feng , Xin-Zhou Li , Xiang-Hua Zhai

We study the lateral dependence of the Casimir energy for different corrugated gratings of arbitrary periodic profile. To this end we model the profiles as stacks of horizontal rectangular slices following the profiles' shape and evaluate…

Other Condensed Matter · Physics 2014-09-16 Johann Lussange , Romain Guérout , Astrid Lambrecht

The Casimir force due to a massless scalar field satisfying Dirichlet boundary conditions may attract or repel a piston in the neck of a flask-like container. Using the world-line formalism this behavior is related to the competing…

Quantum Physics · Physics 2009-02-11 Martin Schaden

In this paper aiming to obtain the Casimir energy between a sinusoidally corrugated sphere and a plate, we first present a derivation of the sphere-plate Casimir force obtained by applying proximity force approximation (PFA). One may…

Other Condensed Matter · Physics 2014-04-08 M. R. Setare , A. Seyedzahedi

We investigate the pseudo-Casimir force in a slab of material composed of nematically ordered long polymers. We write the total mesoscopic energy together with the constraint connecting the local density and director fluctuations and…

Statistical Mechanics · Physics 2009-10-31 Jure Dobnikar , Rudi Podgornik

Unwanted stiction in micro- and nanomechanical (NEMS/MEMS) systems due to dispersion (van der Waals, or Casimir) forces is a significant hurdle in the fabrication of systems with moving parts on these length scales. Introducing a suitably…

Mesoscale and Nanoscale Physics · Physics 2012-11-22 M. Boström , S. Å. Ellingsen , I. Brevik , M. Dou , C. Persson , Bo E. Sernelius

We review the relation between Casimir effect and geometry, emphasizing deviations from the commonly used Proximity Force Approximation (PFA). We use to this aim the scattering formalism which is nowadays the best tool available for…

Quantum Physics · Physics 2008-07-18 Serge Reynaud , Paulo A. Maia Neto , Astrid Lambrecht

The proximity force approximation (PFA) has been widely used as a tool to evaluate the Casimir force between smooth objects at small distances. In spite of being intuitively easy to grasp, it is generally believed to be an uncontrolled…

High Energy Physics - Theory · Physics 2018-07-19 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

Casimir and Casimir-Polder repulsion have been known for more than 50 years. The general "Lifshitz" configuration of parallel semi-infinite dielectric slabs permits repulsion if they are separated by a dielectric fluid that has a value of…

High Energy Physics - Theory · Physics 2018-03-09 Kimball A. Milton , E. K. Abalo , Prachi Parashar , Nima Pourtolami , Iver Brevik , Simen A. Ellingsen

Quantum and thermal fluctuations are fundamental to a plethora of phenomena within quantum optics, including the Casimir effect that acts between closely separated surfaces typically found in MEMS and NEMS devices. Particularly promising…

Quantum Physics · Physics 2024-08-28 Benjamin Spreng , Calum Shelden , Tao Gong , Jeremy N. Munday

The Casimir interaction and torque are related phenomena originating from the exchange of electromagnetic excitations between objects. While the Casimir force exists between any types of objects, the materials or geometrical anisotropy…

Quantum Physics · Physics 2024-01-22 Pablo Rodriguez-Lopez , Dai-Nam Le , Igor V. Bondarev , Mauro Antezza , Lilia M. Woods

We propose a method of achieving large temperature sensitivity in the Casimir force that involves measuring the stable separation between dielectric objects immersed in fluid. We study the Casimir force between slabs and spheres using…

This paper is devoted to the presentation of the lateral Casimir force between two sinusoidally corrugated eccentric cylinders. Despite that applying scattering matrix method explains the problem exactly, procedure of applying this method…

High Energy Physics - Theory · Physics 2015-06-18 M. R. Setare , A. Seyedzahedi

We analyze the thermodynamic Casimir effect in strongly anizotropic systems from the vectorial $N\to\infty$ class in a slab geometry. Employing the imperfect (mean-field) Bose gas as a representative example, we demonstrate the key role of…

Statistical Mechanics · Physics 2024-03-15 Maciej Łebek , Paweł Jakubczyk

In this paper we theoretically demonstrate the tunability of the Casimir force both in sign and magnitude between parallel plates coated with dispersive materials. We show that this force, existing between uncharged plates, can be tuned by…

Quantum Physics · Physics 2022-06-15 Miguel Camacho , Tao Gong , Benjamin Spreng , Iñigo Liberal , Nader Engheta , Jeremy N. Munday

We discuss recent experimental and theoretical results on the Casimir force between real material bodies made of different materials. Special attention is paid to calculations of the normal Casimir force acting perpendicular to the surface…

Quantum Physics · Physics 2011-03-10 G. L. Klimchitskaya

The Casimir force between two parallel uncharged closely spaced metallic plates is evaluated in ways alternatives to those usually considered in the literature. In a first approximation we take in account the suppressed quantum numbers of a…

General Physics · Physics 2009-01-08 P. R. Silva

We propose the experimental scheme and present detailed theory of the optical chopper which functionality is based on the balance between the Casimir and light pressures. The proposed device consists of two atomically thin metallic mirrors…

Optics · Physics 2018-07-18 G. L. Klimchitskaya , V. M. Mostepanenko , V. M. Petrov , T. Tschudi

Quantum fluctuations of the electromagnetic field in the medium surrounding two discharged macroscopic polarizable bodies induce a force between the two bodies, the so called Casimir force. In the last two decades many experiments have…

Quantum Physics · Physics 2017-08-02 Giuseppe Bimonte

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