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We present both analytical and numerical results for the behaviour of the Casimir force in a Ginzburg-Landau type model of a film of a simple fluid or binary liquid mixture in which the confining surfaces are strongly adsorbing but…

Statistical Mechanics · Physics 2018-11-06 Daniel Dantchev , Vassil Vassilev , Peter Djondjorov

In 1948 H.B.G.Casimir predicted that an attractive force between two perfectly conducting neutral plates exists due to changes in the electromagnetic vacuum energy caused by the influence of the plates. In 1956 E.M. Lifshitz derived an…

Quantum Physics · Physics 2007-05-23 Karen Windmeier Wetz

In this paper, we use the formalism of finite-temperature quantum field theory to investigate the Casimir force between flat, ideally conductive surfaces containing confined, but mobile ions. We demonstrate that, in the Gaussian…

Quantum Physics · Physics 2025-04-24 Yu. A. Budkov , P. E. Brandyshev

The Casimir effect in graphene systems is reviewed with emphasis made on the large thermal correction to the Casimir force predicted at short separations between the test bodies. The computational results for the Casimir pressure and for…

Quantum Physics · Physics 2022-11-15 G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

Both theoretical interest and practical significance attach to the sign and strength of Casimir forces. A famous, discouraging no-go theorem states that "The Casimir force between two bodies with reflection symmetry is always attractive."…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Qing-Dong Jiang , Frank Wilczek

We want to study the Casimir effect for a single conducting microscopic cylindrical cavity. The mathematical technique is based on the Green function of the geometry of the inside of the cavity, and the integral regularization is based on…

Quantum Physics · Physics 2016-01-28 H. Razmi , S. M. Shirazi

We obtain expressions for the Casimir energy and force following an approach which may be applied to cavities made up of arbitrary materials. In the case of planar cavities we obtain the well known Lifshitz formula. The approach is easily…

Quantum Physics · Physics 2007-09-24 W. Luis Mochan , Carlos Villarreal

The Casimir-Polder-Lifshitz force felt by an atom near the surface of a substrate is calculated out of thermal equilibrium in terms of the dielectric function of the material and of the atomic polarizability. The new force decays like…

Statistical Mechanics · Physics 2007-05-23 Mauro Antezza , Lev P. Pitaevskii , Sandro Stringari

We consider Casimir-Polder and Casimir forces with finite dissipation by coupling heat baths to the dipoles introducing, this way, dissipation from 'first principles'. We derive a representation of the free energy as an integral over real…

Quantum Physics · Physics 2017-12-20 M. Bordag

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

The retarded dispersion interaction (Casimir interaction) between two dilute dielectric media at high temperatures is considered. The excited atoms are taken into account. It is shown that the perturbation technique can not be applied to…

Quantum Physics · Physics 2009-11-13 Yury Sherkunov

We derive an expression for the Casimir force between slabs with arbitrary dielectric properties characterized by their reflection coefficients. The formalism presented here is applicable to media with a local or a non-local dielectric…

Quantum Physics · Physics 2007-05-23 W. L. Mochan , C. Villarreal , R. ESquivel-Sirvent

We present a new approach to the Helmholtz spectrum for arbitrarily shaped boundaries and general boundary conditions. We derive the boundary induced change of the density of states in terms of the free Green's function from which we obtain…

Statistical Mechanics · Physics 2009-11-10 Rauno Buescher , Thorsten Emig

The application of the Lifshitz theory to describe the thermal Casimir force between dielectrics and semiconductors is considered. It is shown that for all true dielectrics (i.e., for all materials having zero conductivity at zero…

Quantum Physics · Physics 2009-11-13 G. L. Klimchitskaya , B. Geyer

We consider the thermodynamic properties of the quasi-two-dimensional spin-half Heisenberg ferromagnet on the stacked square and the stacked kagom\'e lattices by using the spin-rotation-invariant Green's function method. We calculate the…

Strongly Correlated Electrons · Physics 2009-11-11 D. Schmalfuß , J. Richter , D. Ihle

We study the zero and finite temperature Casimir force acting on a perfectly conducting piston with arbitrary cross section moving inside a closed cylinder with infinitely permeable walls. We show that at any temperature, the Casimir force…

High Energy Physics - Theory · Physics 2009-02-19 S. C. Lim , L. P. Teo

We present theoretical description of the Casimir interaction in graphene systems which is based on the Lifshitz theory of dispersion forces and the formalism of the polarization tensor in (2+1)-dimensional space-time. The representation…

Quantum Physics · Physics 2016-04-13 G. L. Klimchitskaya

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. Our approach improves upon the proximity force…

High Energy Physics - Theory · Physics 2017-08-23 Antonello Scardicchio

We study Casimir interactions between cylinders in thermal non-equilibrium, where the objects as well as the environment are held at different temperatures. We provide the general formula for the force, in a one reflection approximation,…

Quantum Physics · Physics 2013-01-17 Vladyslav A. Golyk , Matthias Krüger , M. T. Homer Reid , Mehran Kardar

Within the framework of the Drude dispersive model, we predict an unusual non-monotonous temperature dependence of the Casimir force for thin metal films. For certain conditions, this force decreases with temperature due to the decrease of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. A. Yampol'skii , Sergey Savel'ev , Z. A. Mayselis , S. S. Apostolov , Franco Nori