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Relaxation of the thermal Casimir or van der Waals force for a model dielectric medium is investigated. We start with a model of interacting polarization fields with a dynamics that leads to a frequency dependent dielectric constant of the…

Statistical Mechanics · Physics 2015-06-03 David S. Dean , Vincent Démery , V. Adrian Parsegian , Rudolf Podgornik

We address the forces exerted by the electromagnetic field emitted by a planar uctuating source on dielectric particles that have arose much interest because of their recently shown magnetodielectric behavior. In this context, we analyze as…

Optics · Physics 2016-10-05 Juan Miguel Auñon , Manuel Nieto-Vesperinas

It has been established for a long time that the long range van der Waals or thermal Casimir interaction between two semi-infinite dielectrics separated by a distance $H$ is screened by an intervening electrolyte. Here we show how this…

Statistical Mechanics · Physics 2025-01-23 Guangle Du , David S. Dean , Bing Miao , Rudolf Podgornik

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

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

Van der Waals forces as interactions between neutral and polarisable particles act at small distances between two objects. Their theoretical origin lies in the electromagnetic interaction between induced dipole moments caused by the vacuum…

Chemical Physics · Physics 2019-06-05 Johannes Fiedler , Clas Persson , Mathias Boström , Stefan Y. Buhmann

Casimir forces are conventionally computed by analyzing the effects of boundary conditions on a fluctuating quantum field. Although this analysis provides a clean and calculationally tractable idealization, it does not always accurately…

High Energy Physics - Theory · Physics 2008-11-26 N. Graham , R. L. Jaffe , V. Khemani , M. Quandt , O. Schroeder , H. Weigel

Using field-theoretical methods and exploiting conformal invariance, we study Casimir forces at tricritical points exerted by long-range fluctuations of the order-parameter field. Special attention is paid to the situation where the…

Soft Condensed Matter · Physics 2015-06-25 Uwe Ritschel , Markus Gerwinski

Fluctuations of the thermal or classical component of the van der Waals force between two dielectric slabs, modelled as an ensemble of polarizable dipoles which interact via the usual electrostatic dipole-dipole interaction, are evaluated.…

Statistical Mechanics · Physics 2015-06-15 D. S. Dean , V. A. Parsegian , R. Podgornik

The statistical mechanical approach to Casimir problems for dielectrics separated by a vacuum gap turns out to be compact and effective. A central ingredient of this method is the effect of interacting fluctuating dipole moments of the…

Quantum Physics · Physics 2009-06-10 Johan S. Høye , Iver Brevik

We present a new approach to calculate the attractive long-range vortex-vortex interaction of the van der Waals type present in anisotropic and layered superconductors. The mapping of the statistical mechanics of two-dimensional charged…

Superconductivity · Physics 2009-10-31 H. P. Buechler , H. G. Katzgraber , G. Blatter

The interaction between a polarizable particle and a reflecting wall is examined. A macroscopic approach is adopted in which the averaged force is computed from the Maxwell stress tensor. The particular case of a perfectly reflecting wall…

Quantum Physics · Physics 2009-10-31 L. H. Ford

The Casimir-Lifhitz force acts between neutral material bodies and is due to the fluctuations (around zero) of the electrical polarizations of the bodies. This force is a macroscopic manifestation of the van der Waals forces between atoms…

Quantum Physics · Physics 2022-01-28 Iver Brevik , Boris Shapiro

The possibility of repulsive Casimir forces between small metal spheres and a dielectric half-space is discussed. We treat a model in which the spheres have a dielectric function given by the Drude model, and the radius of the sphere is…

Quantum Physics · Physics 2009-11-10 V. Sopova , L. H. Ford

The Casimir force between dielectric bodies is well-understood, but not the Casimir force inside a dielectric, in particular its renormalization. We develop and analyse a simple model for the Casimir forces inside a medium that is…

Quantum Physics · Physics 2023-12-22 H. Horner , L. M. Rachbauer , S. Rotter , U. Leonhardt

Dispersion forces such as van der Waals forces between two microscopic particles, the Casimir--Polder forces between a particle and a macroscopic object or the Casimir force between two dielectric objects are well studied in vacuum.…

In earlier papers we have applied multiple scattering techniques to calculate Casimir forces due to scalar fields between different bodies described by delta function potentials. When the coupling to the potentials became weak, closed-form…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Prachi Parashar , Jef Wagner

The mechanical action on matter of the electromagnetic field emitted by a fluctuating source is governed by its statistics. In particular, thermal sources and vacuum fluctuations exert on bodies those well-known Casimir (C) and Van der…

Optics · Physics 2014-10-28 Manuel Nieto-Vesperinas , Juan Miguel Auñón

We calculate the effective force mediated by thermally excited capillary waves between spherical or disklike colloids trapped at a fluid interface. This Casimir type interaction is shown to depend sensitively on the boundary conditions…

Soft Condensed Matter · Physics 2007-05-23 H. Lehle , M. Oettel , S. Dietrich

While techniques to compute thermal fluctuation induced, or pseudo-Casimir, forces in equilibrium systems are well established, the same is not true for non-equilibrium cases. We present a general formalism that allows us to unambiguously…

Statistical Mechanics · Physics 2009-08-10 David S. Dean , Ajay Gopinathan
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