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We develop an exact method for computing Casimir forces and the power of radiative heat transfer between two arbitrary nanostructured surfaces out of thermal equilibrium. The method is based on a generalization of the scattering approach…

Quantum Physics · Physics 2009-11-23 Giuseppe Bimonte

We compute the Casimir force for a system composed of two layers as substrates within three different homogenous layers. We use the scattering approach along with the Matsubara formalism in order to calculate the Casimir force at finite…

Soft Condensed Matter · Physics 2015-07-30 A. Moradian , M. R. Setare , S. A. Seyedzahedi

We compute the Casimir interaction between a plane and a sphere, the configuration employed in the most precise experiments. The scattering formula is developed by taking a suitably chosen plane-wave and multipole basis and is valid for…

Quantum Physics · Physics 2014-09-16 Antoine Canaguier-Durand , Paulo A. Maia Neto , Astrid Lambrecht , Serge Reynaud

We present calculations of the Casimir interaction between a sphere and a plane, using a multipolar expansion of the scattering formula. This configuration enables us to study the nontrivial dependence of the Casimir force on the geometry,…

We calculate exactly the Casimir force between a spherical particle and a plane, both with arbitrary dielectric properties, in the non-retarded limit. Using a Spectral Representation formalism, we show that the Casimir force of a sphere…

Quantum Physics · Physics 2007-05-23 Cecilia Noguea , Carlos E. Roman-Velazquez

We measure the Casimir force between a gold sphere and a silicon plate with nanoscale, rectangular corrugations with depth comparable to the separation between the surfaces. In the proximity force approximation (PFA), both the top and…

We develop a computational study of Casimir forces between three dimensional (3D) finite objects with an internal granular structure. The objects in the model consist of a finite arrangement of nanometer sized spherical particles having a…

Quantum Physics · Physics 2008-06-13 C E Román-Velázquez , Bo E Sernelius

The Casimir force between bodies in vacuum can be understood as arising from their interaction with an infinite number of fluctuating electromagnetic quantum vacuum modes, resulting in a complex dependence on the shape and material of the…

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

We find the joint effect of non-zero temperature and finite conductivity onto the Casimir force between real metals. Configurations of two parallel plates and a sphere (lens) above a plate are considered. Perturbation theory in two…

Quantum Physics · Physics 2009-11-06 M. Bordag , B. Geyer , G. L. Klimchitskaya , V. M. Mostepanenko

One of the most important and still unresolved problems in the field of dispersion forces, is that of determining the influence of temperature on the Casimir force between two metallic plates. While alternative theoretical approaches lead…

Quantum Physics · Physics 2009-02-10 Giuseppe Bimonte

We present a modal approach to calculate finite temperature Casimir interactions between two periodically modulated surfaces. The scattering formula is used and the reflection matrices of the patterned surfaces are calculated decomposing…

Quantum Physics · Physics 2011-02-10 P. S. Davids , F. Intravaia , F. S. S. Rosa , D. A. R. Dalvit

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

We investigate in detail the Casimir torque induced by quantum vacuum fluctuations between two nanostructured plates. Our calculations are based on the scattering approach and take into account the coupling between different modes induced…

Quantum Physics · Physics 2015-09-01 R. Guérout , C. Genet , A. Lambrecht , S. Reynaud

This article reviews recent progress on the geometry dependence of Casimir interactions and presents some applications to nanosystems. The article consists of three parts: (i) Some examples for geometry dependence: structured surfaces,…

Statistical Mechanics · Physics 2009-01-30 Thorsten Emig

We study the Casimir force between a nanoparticle and a substrate. We consider the interaction of metal nanoparticles with different substrates within the dipolar approximation. We study the force as a function of the distance for gold and…

Quantum Physics · Physics 2008-04-15 C. E. Roman-Velazquez , Cecilia Noguez , C. Villarreal , R. Esquivel-Sirvent

The Casimir effect refers to the existence of a macroscopic force between conducting plates in vacuum due to quantum fluctuations of fields. These forces play an important role, among other things, in the design of nano-scale mechanical…

High Energy Physics - Theory · Physics 2015-06-03 Dimitra Karabali

The difference of the thermal Casimir forces at different temperatures between real metals is shown to increase with a decrease of the separation distance. This opens new opportunities for the demonstration of the thermal dependence of the…

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

There has been recent criticism of our approach to the Casimir force between real metallic surfaces at finite temperature, saying it is in conflict with the third law of thermodynamics and in contradiction with experiment. We show that…

Quantum Physics · Physics 2009-11-11 J. S. Hoye , I. Brevik , J. B. Aarseth , K. A. Milton

We consider the Casimir interaction energy between a plane and a sphere of radius $R$ at finite temperature $T$ as a function of the distance of closest approach $L$. Typical experimental conditions are such that the thermal wavelength…

Quantum Physics · Physics 2021-05-11 Vinicius Henning , Benjamin Spreng , Paulo A. Maia Neto , Gert-Ludwig Ingold
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