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We report measurements of the Casimir force between a gold sphere and a silicon surface with an array of nanoscale, rectangular corrugations using a micromechanical torsional oscillator. At distance between 150 nm and 500 nm, the measured…

Quantum Physics · Physics 2008-07-15 H. B. Chan , Y. Bao , J. Zou , R. A. Cirelli , F. Klemens , W. M. Mansfield , C. S. Pai

We study the thermal Casimir effect between two thick slabs composed of plane-parallel layers of random dielectric materials interacting across an intervening homogeneous dielectric. It is found that the effective interaction at long…

Disordered Systems and Neural Networks · Physics 2015-05-13 D. S. Dean , R. R. Horgan , A. Naji , R. Podgornik

We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy…

High Energy Physics - Theory · Physics 2015-05-30 Hongbo Cheng

We use the extended Lifshitz theory to study the behaviors of the Casimir forces between finite-thickness effective medium slabs. We first study the interaction between a semi-infinite Drude metal and a finite-thickness magnetic slab with…

Mesoscale and Nanoscale Physics · Physics 2012-09-04 R. Zhao , Th. Koschny , E. N. Economou , C. M. Soukoulis

The Casimir force between two short-range charge sources, embedded in a background of one dimensional massive Dirac fermions, is explored by means of the original $\ln\text{[Wronskian]}$ contour integration techniques. For identical sources…

High Energy Physics - Theory · Physics 2019-06-19 Yu. Voronina , I. Komissarov , K. Sveshnikov

We study the Casimir force in piston-like geometries semiclassically. The force on the piston is finite and physical, but to leading semiclassical approximation depends strongly on the shape of the surrounding cavity. Whereas this force is…

Quantum Physics · Physics 2007-05-24 Martin Schaden , Liviu Mateescu

The Casimir force follows from quantum fluctuations of the electromagnetic field and yields a nonlinear attractive force between closely spaced conductive objects. Measuring the Casimir force in superconducting materials on either side of…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Matthijs H. J. de Jong , Evren Korkmazgil , Louise Banniard , Mika A. Sillanpää , Laure Mercier de Lépinay

The Casimir effect is considered for a wedge with opening angle $\alpha $, with perfectly conducting walls, when the interior region is filled with an isotropic and nondispersive medium with permittivity $\epsilon $ and permeability $\mu $.…

Quantum Physics · Physics 2009-01-14 I. Brevik , K. Pettersen

We discuss repulsive Casimir forces between dielectric materials with non trivial magnetic susceptibility. It is shown that considerations based on naive pair-wise summation of Van der Waals and Casimir Polder forces may not only give an…

Quantum Physics · Physics 2009-11-07 O. Kenneth , I. Klich , A. Mann , M. Revzen

The Casimir force between dielectric bodies is well-understood, but not the Casimir force inside a dielectric, in particular its renormalization. We develop and analyse a simple model for the Casimir forces inside a medium that is…

Quantum Physics · Physics 2023-12-22 H. Horner , L. M. Rachbauer , S. Rotter , U. Leonhardt

Measurements of the Casimir force are used to obtain stronger constraints on the parameters of hypothetical interactions predicted in different unification schemes beyond the Standard Model. We review new strong constraints on the…

High Energy Physics - Phenomenology · Physics 2015-06-03 V. M. Mostepanenko , V. B. Bezerra , G. L. Klimchitskaya , C. Romero

Hydrophobic force, interfacial tension, transverse density profile in confined water system are addressed from first principles of statistical mechanics in a lattice model for water. Using molecular mean field theory technique we deduce…

Statistical Mechanics · Physics 2011-09-14 Jampa Maruthi Pradeep Kanth , Ramesh Anishetty

We derive the lateral Casimir-Polder force on a ground state atom on top of a corrugated surface, up to first order in the corrugation amplitude. Our calculation is based on the scattering approach, which takes into account nonspecular…

Quantum Physics · Physics 2009-11-13 Diego A. R. Dalvit , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We compare theory and experiment in the Casimir force measurement between gold surfaces performed with the atomic force microscope. Both random and systematic experimental errors are found leading to a total absolute error equal to 8.5 pN…

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

A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

$\mathrm{O}(N)$ vector models in three dimensions, when defined in a geometry with a compact direction and tuned to criticality, exhibit long-range fluctuations which induce a Casimir effect. The strength of the resulting interaction is…

Statistical Mechanics · Physics 2025-12-23 Andrea Bulgarelli , Michele Caselle , Alessandro Nada , Marco Panero

We study the statistical fluctuations of the Casimir potential felt by an atom approaching a dielectric disordered medium. Starting from a microscopic model for the disorder, we calculate the variance of potential fluctuations in the limit…

Quantum Physics · Physics 2015-04-15 Nicolas Cherroret , Romain Guérout , Astrid Lambrecht , Serge Reynaud

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

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

We report on the measurement of the Casimir force between conducting surfaces in a parallel configuration. The force is exerted between a silicon cantilever coated with chromium and a similar rigid surface and is detected looking at the…

Quantum Physics · Physics 2008-11-26 G. Bressi , G. Carugno , R. Onofrio , G. Ruoso