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The physical origin of the Casimir force is connected with the existence of zero-point and thermal fluctuations. The Casimir effect is very general and finds applications in various fields of physics. This review is limited to the rapid…

Other Condensed Matter · Physics 2014-11-18 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

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

Recent work by Jaffe and Scardicchio has expressed the optical approximation to the Casimir effect as a sum over geometric quantities. The first two authors have developed a technique which uses the complex geometry of the space of oriented…

Differential Geometry · Mathematics 2009-11-10 Brendan Guilfoyle , Wilhelm Klingenberg , Siddhartha Sen

Effective Casimir forces induced by thermal fluctuations in the vicinity of bulk critical points are studied by means of Monte Carlo simulations in three-dimensional systems for film geometries and within the experimentally relevant Ising…

Statistical Mechanics · Physics 2009-07-13 O. Vasilyev , A. Gambassi , A. Maciolek , S. Dietrich

We numerically test an experimentally realizable method for the extraction of the critical Casimir force based on its thermodynamic definition as the derivative of the excess free energy with respect to system size. Free energy differences…

Statistical Mechanics · Physics 2016-03-31 David Lopes Cardozo , Hugo Jacquin , Peter C. W. Holdsworth

We present a field-theoretic study of the critical Casimir force of the Ising universality class in a $d$-dimensional ${L_\parallel^{d-1} \times L}$ slab geometry with a finite aspect ratio $\rho = L/L_\parallel$ above, at, and below $T_c$.…

Statistical Mechanics · Physics 2009-05-06 Volker Dohm

We present a numerical study of the effective potential $V_\mathrm{eff}$ between two hard-sphere colloids dispersed in a solvent of interacting particles, for several values of temperature and solvent density, approaching the solvent…

Soft Condensed Matter · Physics 2013-04-08 Nicoletta Gnan , Emanuela Zaccarelli , Piero Tartaglia , Francesco Sciortino

In our study we investigate the behaviour of the net force (NF) emerging between an ellipsoidal particle and a thick plate (slab), when the interaction takes place in a near critical fluid medium with account for the omnipresent van der…

Statistical Mechanics · Physics 2019-03-27 G. S. Valchev , D. M. Dantchev

The present paper - a continuation of our recent series of papers on Casimir friction for a pair of particles at low relative particle velocity - extends the analysis so as to include dense media. The situation becomes in this case more…

Quantum Physics · Physics 2013-07-31 Johan S. Høye , Iver Brevik

This paper extends our recent study on Casimir friction forces for dielectric plates moving parallel to each other [J. S. H{\o}ye and I. Brevik, Eur. Phys. J. D {\bf 68}, 61 (2014)], to the case where the plates are no longer restricted to…

Quantum Physics · Physics 2015-06-11 Johan S. Høye , Iver Brevik

The Casimir force between macroscopic bodies is well understood, but not the Casimir stress inside bodies. Suppose empty space or a uniform medium meets a soft wall where the refractive index is continuous but its derivative jumps. For this…

Quantum Physics · Physics 2017-11-15 Itay Griniasty , Ulf Leonhardt

Casimir forces are of fundamental interest because they originate from quantum fluctuations of the electromagnetic field. Apart from controlling the Casimir force via the optical properties of the materials, a number of novel geometries…

Quantum Physics · Physics 2017-01-11 L. Tang , M. Wang , C. Y. Ng , M. Nikolic , C. T. Chan , A. W. Rodriguez , H. B. Chan

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

We apply the proximity force approximation, which is widely used for the calculation of the Casimir force between bodies with nonplanar boundary surfaces, to gravitational and Yukawa-type interactions. It is shown that for the gravitational…

Quantum Physics · Physics 2009-07-30 R. S. Decca , E. Fischbach , G. L. Klimchitskaya , D. E. Krause , D. López , V. M. Mostepanenko

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 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

Critical properties of a liquid film between two planar walls are investigated in the canonical ensemble, within which the total number of particles, rather than their chemical potential, is kept constant. The effect of this constraint is…

Statistical Mechanics · Physics 2016-08-04 Markus Gross , Oleg Vasilyev , Andrea Gambassi , S. Dietrich

We study the critical Casimir interaction between two spherical colloids immersed in a binary liquid mixture close to its critical demixing point. The surface of each colloid prefers one species of the mixture with the exception of a…

Statistical Mechanics · Physics 2020-04-22 Nima Farahmand Bafi , Piotr Nowakowski , Siegfried Dietrich

Casimir forces in a critical media are produced by spatial suppression of order parameter fluctuations. In this paper we address the question how fluctuations of a critical media relates the magnitude of critical Casimir interactions.…

Statistical Mechanics · Physics 2019-01-02 Oleg A. Vasilyev

We propose a new approach to the Casimir effect based on classical ray optics. We define and compute the contribution of classical optical paths to the Casimir force between rigid bodies. We reproduce the standard result for parallel plates…

Quantum Physics · Physics 2008-11-26 R. L. Jaffe , A. Scardicchio
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