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We calculate the Casimir force or dispersive van der Waals force between a spherical nanoparticle and a planar substrate, both with arbitrary dielectric properties. We show that the force between a sphere and a plane can be calculated…

Other Condensed Matter · Physics 2007-05-23 Cecilia Noguez , C. Roman-Velazquez

Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , V. M. Mostepanenko

We consider the problem of modeling of interaction of thin material films with fields of quantum electrodynamics. Taking into account the basic principles of quantum electrodynamics (locality, gauge invariance, renormalizability) we…

High Energy Physics - Theory · Physics 2009-11-11 V. N. Markov , Yu. M. Pis'mak

We compute Casimir interaction energies for the sphere-plate and cylinder-plate configuration induced by scalar-field fluctuations with Dirichlet boundary conditions. Based on a high-precision calculation using worldline numerics, we…

Quantum Physics · Physics 2009-11-13 Holger Gies , Klaus Klingmuller

We apply the scattering approach to the Casimir interaction between two dielectric half-spaces separated by an electrolyte solution. We take the nonlocal electromagnetic response of the intervening medium into account, which results from…

Mesoscale and Nanoscale Physics · Physics 2019-09-30 P. A. Maia Neto , F. S. S. Rosa , L. B. Pires , A. B. Marim , A. Canaguier-Durand , R. Guérout , A. Lambrecht , S. Reynaud

We consider the Casimir interaction between two spheres corresponding to massless Dirac fields with MIT-bag boundary conditions. Using operator approach, we derive the TGTG-formula for the Casimir interaction energy between the two spheres.…

High Energy Physics - Theory · Physics 2015-05-20 L. P. Teo

We study the thermodynamic Casimir force between a spherical object and a plate. We consider the bulk universality class of the three-dimensional Ising model, which is relevant for experiments on binary mixtures. To this end, we simulate…

Statistical Mechanics · Physics 2013-02-27 Martin Hasenbusch

The lateral Casimir force, which arises between aligned sinusoidally corrugated surfaces of a sphere and a plate, was measured for the case of a small corrugation period beyond the applicability region of the proximity force approximation.…

Quantum Physics · Physics 2010-03-15 H. -C. Chiu , G. L. Klimchitskaya , V. N. Marachevsky , V. M. Mostepanenko , U. Mohideen

The spatial suppression of order parameter fluctuations in a critical media produces Critical Casimir forces acting on confining surfaces. This scenario is realized in a critical binary mixture near the demixing transition point that…

Statistical Mechanics · Physics 2014-10-03 Oleg A. Vasilyev

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

We study collective interaction effects that result from the change of free quantum electrodynamic field fluctuations by one- and two-dimensional perfect metal structures. The Casimir interactions in geometries containing plates and…

Statistical Mechanics · Physics 2014-11-18 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe , Mehran Kardar

Using the covariant electromagnetic Casimir effect (previously introduced for real conducting cylindrical shells [1]), the Casimir force experienced by a spherical shell, under Dirichlet boundary condition, is calculated. The…

General Physics · Physics 2016-08-30 H. Razmi , M. Abtahi

We derive the explicit expression for the Casimir energy between a sphere and a 1D grating, in terms of the sphere and grating reflection matrices, and valid for arbitrary materials, sphere radius, and grating geometric parameters. We then…

Quantum Physics · Physics 2015-12-21 Riccardo Messina , Paulo A. Maia Neto , Brahim Guizal , Mauro Antezza

We develop a formalism suitable for studying Maxwell's equations in the presence of a medium that is axially symmetric, in particular with respect to Casimir-Polder interaction energies. As an application, we derive the Casimir-Polder…

Classical Physics · Physics 2017-12-04 K. V. Shajesh , Prachi Parashar , Iver Brevik

We extend a recently introduced method for computing Casimir forces between arbitrarily--shaped metallic objects [M. T. H. Reid et al., Phys. Rev. Lett._103_ 040401 (2009)] to allow treatment of objects with arbitrary material properties,…

Quantum Physics · Physics 2011-10-21 M. T. Homer Reid , Jacob White , Steven G. Johnson

The widely-adopted proximity-force approximation (PFA) to estimate normal Casimir forces is known to be asymptotically exact at vanishing separations. In this letter, we propose a correction to the PFA, which is sufficiently accurate in…

Optics · Physics 2019-01-30 F. Bao , K. Shi

We study the Casimir interaction between a metallic cylindrical wire and a metallic spherical particle by employing the scattering formalism. At large separations, we derive the asymptotic form of the interaction. In addition, we find the…

Statistical Mechanics · Physics 2013-06-27 E. Noruzifar , P. Rodriguez-Lopez , T. Emig , R. Zandi

Casimir friction between a polarizable particle and a semi-infinite space is a delicate physical phenomenon, as it concerns the interaction between a microscopic quantum particle and a semi-infinite reservoir. Not unexpectedly, results…

Quantum Physics · Physics 2015-08-19 J. S. Høye , I. Brevik , K. A. Milton

We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding…

Quantum Physics · Physics 2011-07-19 F. D. Mazzitelli , D. A. R. Dalvit , F. C. Lombardo

We discuss non-equilibrium extensions of the Casimir force (due to electromagnetic fluctuations), where the objects as well as the environment are held at different temperatures. While the formalism we develop is quite general, we focus on…

Quantum Physics · Physics 2014-10-31 Matthias Krüger , Thorsten Emig , Giuseppe Bimonte , Mehran Kardar