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We discuss Casimir phenomena which are dominated by long-range fluctuations. A prime example is given by "geothermal" Casimir phenomena where thermal fluctuations in open Casimir geometries can induce significantly enhanced thermal…

High Energy Physics - Theory · Physics 2010-05-25 Holger Gies , Alexej Weber

We present improved worldline numerical algorithms for high-precision calculations of Casimir interaction energies induced by scalar-field fluctuations with Dirichlet boundary conditions for various Casimir geometries. Significant reduction…

Quantum Physics · Physics 2008-11-26 Holger Gies , Klaus Klingmuller

After a review of the standard calculation of the Casimir force between two metallic plates at zero and non-zero temperatures, we present the study of microscopic models to determine the large-distance asymptotic force in the…

Statistical Mechanics · Physics 2011-11-09 Ph. A. Martin , P. R. Buenzli

The local Casimir energy density and the global Casimir energy for a massless scalar field associated with a $\lambda\delta$-function potential in a 3+1 dimensional circular cylindrical geometry are considered. The global energy is examined…

High Energy Physics - Theory · Physics 2008-11-26 Ines Cavero-Pelaez , Kimball A. Milton , Klaus Kirsten

In this paper we present the un-Casimir effect, namely the study of the Casimir energy in the presence of an unparticle component in addition to the electromagnetic field contribution. The distinctive feature of the un-Casimir effect is a…

High Energy Physics - Phenomenology · Physics 2017-07-27 Antonia M. Frassino , Piero Nicolini , Orlando Panella

In this letter, we derive the explicit exact formulas for the finite temperature Casimir force acting on a pair of parallel plates in the presence of extra compactified dimensions within the framework of Kaluza-Klein theory. Using the…

High Energy Physics - Theory · Physics 2009-02-26 L. P. Teo

Multidimensional cosmological models with a higher dimensional space-time manifold are investigated under dimensional reduction. In the Einstein conformal frame, the effective potential for the internal scale factors is obtained. The stable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 U. Guenther , S. Kriskiv , A. Zhuk

Using scaling arguments and the property of self-similarity we derive the Casimir energies of Sierpinski triangles and Sierpinski rectangles. The Hausdorff-Besicovitch dimension (fractal dimension) of the Casimir energy is introduced and…

High Energy Physics - Theory · Physics 2017-12-01 K. V. Shajesh , Prachi Parashar , Inés Cavero-Peláez , Jerzy Kocik , Iver Brevik

The vacuum expectation value of the electromagnetic energy-momentum tensor between two parallel plates in spacetime dimensions D > 4 is calculated in the axial gauge. While the pressure between the plates agrees with the global Casimir…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Alnes , K. Olaussen , F. Ravndal , I. K. Wehus

Vacuum polarization (or Casimir) energies can be straightforwardly computed from scattering data for static field configurations whose interactions with the fluctuating field are frequency independent. In effective theories, however,such…

High Energy Physics - Theory · Physics 2014-10-08 N. Graham , M. Quandt , H. Weigel

We revisit the calculation of the Casimir effect from the perspective of scale limited resolutions of quantum fields. We use the continuous wavelet transform to introduce a scale degree of freedom and then restrict it to simulate either an…

Quantum Physics · Physics 2024-06-21 Šimon Vedl , Daniel J. George , Gavin K. Brennen

The properties of fluctuation induced interactions like van der Waals and Casimir-Lifshitz forces are of interest in a plethora of fields ranging from biophysics to nanotechnology. Here we describe a general approach to compute these…

Statistical Mechanics · Physics 2010-05-25 Thorsten Emig

The microscopic theory of the Casimir effect in the dielectric is studied in the framework when absorption is realized via a reservoir modeled by a set of oscillators with continuously distributed frquencies with the aim to see if the…

Quantum Physics · Physics 2015-06-18 M. A. Braun

We show that two indistinguishable aspects of the divergences occurring in the Casimir effect, namely the divergence of the energy of the higher modes and the non-com\-pact\-ness of the momentum space, get disentangled in a given…

High Energy Physics - Theory · Physics 2020-09-28 S. A. Franchino-Viñas , S. Mignemi

I show that cooperative exclusion processes with selective kinetic constraints exhibit fluctuation-induced forces that can be attractive or repulsive, depending on the density of boundary reservoirs, when their density-dependent diffusion…

Statistical Mechanics · Physics 2020-01-08 Mauro Sellitto

We have measured the short-range attractive force between crystalline Ge plates, and found contributions from both the Casimir force and an electrical force possibly generated by surface patch potentials. Using a model of surface patch…

Quantum Physics · Physics 2013-05-29 W. J. Kim , A. O. Sushkov , D. A. R. Dalvit , S. K. Lamoreaux

Systems with an O(n) symmetrical Hamiltonian are considered in a $d$-dimensional slab geometry of macroscopic lateral extension and finite thickness $L$ that undergo a continuous bulk phase transition in the limit $L\to\infty$. The…

Statistical Mechanics · Physics 2008-03-14 Daniel Grüneberg , H. W. Diehl

We calculate the Casimir energy at spherical cavities within a host made up of an arbitrary material described by a possibly dispersive and lossy dielectric response. To that end, we add to the coherent optical response a contribution that…

Quantum Physics · Physics 2008-07-16 W. Luis Mochan , Carlos Villarreal-Lujan

We present the Casimir energy of spherical shell, for the symmetrically deformed scalar field in $\kappa$-Minkowski space-time, satisfying Dirichlet boundary condition. The Casimir energy shows the particle anti-particle symmetry contrary…

High Energy Physics - Theory · Physics 2008-03-18 Hyeong-Chan Kim , Chaiho Rim , Jae Hyung Yee

We review recent work on the Casimir interaction energy between cylindrical shells. We include proposals for future experiments involving cylinders, such us a null experiment using quasi-concentric cylinders, a cylinder in front a…

Quantum Physics · Physics 2009-11-13 F. C. Lombardo , F. D. Mazzitelli , P. I. Villar