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We study the influence of finite conductivity of metals on the Casimir effect. We put the emphasis on explicit theoretical evaluations which can help comparing experimental results with theory. The reduction of the Casimir force is…

Quantum Physics · Physics 2009-10-31 Astrid Lambrecht , Serge Reynaud

We derive the leading-order correction to the proximity force approximation (PFA) result for the electromagnetic Casimir interaction in the plane-sphere geometry by developing the scattering approach in the plane-wave basis. Expressing the…

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 calculate the Casimir interaction between two parallel wires and between a wire and a metall plate. The dielectric properties of the objects are described by the plasma, Drude and perfect metal models. We find that at asymptotically…

Statistical Mechanics · Physics 2011-12-12 Ehsan Noruzifar , Thorsten Emig , Roya Zandi

The Casimir interaction energy for a class of discrete self-similar configuration of parallel plates is evaluated using existing methods. The similarities to characteristics of an attractive Casimir force is deduced only at infinite range…

Quantum Physics · Physics 2022-01-04 Venkat Abhignan , R. Sankaranarayanan

The general perturbative expression for the lateral Casimir force between two plates covered by longitudinal corrugations of arbitrary shape is obtained. This expression is applicable for corrugation periods larger than the separation…

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

We consider a stack of parallel sheets composed of conducting planes with tensorial conductivities. Using the scattering matrix approach, we derive explicit formulas for the Casimir energy of two, three, and four planes, as well as a…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Natalia Emelianova , Rashid Kashapov , Nail Khusnutdinov

In order to compare recent experimental results with theoretical predictions we study the influence of finite conductivity of metals on the Casimir effect. The correction to the Casimir force and energy due to imperfect reflection and…

Quantum Physics · Physics 2023-04-14 Astrid Lambrecht , Cyriaque Genet , Serge Reynaud

We study the Casimir interaction energy due to the vacuum fluctuations of the Electromagnetic (EM) field in the presence of two mirrors, described by $2+1$-dimensional, generally nonlocal actions, which may contain both parity-conserving…

High Energy Physics - Theory · Physics 2017-04-05 C. D. Fosco , M. L. Remaggi

Casimir effect in most general terms may be understood as a backreaction of a quantum system causing an adiabatic change of the external conditions under which it is placed. This paper is the second installment of a work scrutinizing this…

High Energy Physics - Theory · Physics 2009-11-11 Andrzej Herdegen

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

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 use a functional approach to evaluate the Casimir free energy for a self-interacting scalar field in $d+1$ dimensions, satisfying Dirichlet boundary conditions on two parallel planes. When the interaction is turned off, exact results for…

High Energy Physics - Theory · Physics 2008-09-16 Claudio Ccapa Ttira , Cesar D. Fosco

We consider the Casimir interaction between two spheres at zero and finite temperature, for both scalar fields and electromagnetic fields. Of particular interest is the asymptotic expansions of the Casimir free energy when the distance…

Quantum Physics · Physics 2015-06-03 L. P. Teo

The Casimir effect for spherical geometry is calculated using generalized Thermofield Dynamics for the case of scalar field. Casimir force and Casimir pressure are presented. It is found that for high temperatures the Casimir force does…

High Energy Physics - Theory · Physics 2008-03-25 D. U. Matrasulov , Kh. T. Butanov , Kh. Yu. Rakhimov , F. C. Khanna , A. E. Santana

In the current work we present the complete results for the measurement of normal Casimir force between shallow and smooth sinusoidally corrugated gold coated sphere and a plate at various angles between the corrugations using an atomic…

Quantum Physics · Physics 2015-06-18 A. A. Banishev , J. Wagner , T. Emig , R. Zandi , U. Mohideen

We calculate the second order roughness correction to the Casimir energy for two parallel metallic mirrors. Our results may also be applied to the plane-sphere geometry used in most experiments. The metallic mirrors are described by the…

Quantum Physics · Physics 2016-09-08 Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We generalize the derivative expansion (DE) approach to the interaction between almost-flat smooth surfaces, to the case of surfaces which are optimally described in cylindrical coordinates. As in the original form of the DE, the obtained…

High Energy Physics - Theory · Physics 2017-12-01 Julio David Melon Fuksman , César Daniel Fosco

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 investigate how the combination of nonequilibrium effects and material properties impacts on the Casimir-Polder interaction between an atom and a surface. By addressing systems with temperature inhomogeneities and laser interactions, we…

Quantum Physics · Physics 2016-04-22 Nicola Bartolo , Riccardo Messina , Diego A. R. Dalvit , Francesco Intravaia