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Dispersion forces between neutral material bodies are due to fluctuations of the polarization of the bodies. For bodies in equilibrium these forces are often referred to as Casimir-Lifshitz forces. For bodies in relative motion, in addition…

Quantum Physics · Physics 2022-09-12 Iver Brevik , Boris Shapiro , Mário Silveirinha

Recently, the topic of Casimir repulsion has received a great deal of attention, largely because of the possibility of technological application. The general subject has a long history, going back to the self-repulsion of a conducting…

High Energy Physics - Theory · Physics 2013-05-30 Kimball A. Milton , Prachi Parashar , Nima Pourtolami , Iver Brevik

On the example of the spherical model we study, as a function of the temperature $T$, the behavior of the Casimir force in O(n) systems with a diffuse interface and slab geometry $\infty^{d-1}\times L$, where $2<d<4$ is the dimensionality…

Statistical Mechanics · Physics 2009-04-15 Daniel Dantchev , Daniel Grüneberg

We study the crossover from low- to high-temperature fluctuations including critical fluctuations in confined isotropic O$(n)$-symmetric systems on the basis of a finite-size renormalization-group approach at fixed dimension $d$ introduced…

Statistical Mechanics · Physics 2018-06-27 Volker Dohm

Motivated by recent experiments in trapped Fermi gas with spin population imbalance, we discuss the effects of the quantum and thermal fluctuations of the interface between a fully paired superfluid core and a fully polarized Fermi gas. We…

Superconductivity · Physics 2007-09-05 Hui Zhai , Dung-Hai Lee

The high-temperature aspects of the Casimir force between two neutral conducting walls are studied. The mathematical model of "inert" ideal-conductor walls, considered in the original formulations of the Casimir effect, is based on the…

Statistical Mechanics · Physics 2016-08-31 Bernard Jancovici , Ladislav Samaj

We investigate the behavior of colloidal particles immersed in a binary liquid mixture of water and 2,6-lutidine in the presence of a chemically patterned substrate. Close to the critical point of the mixture, the particles are subjected to…

Soft Condensed Matter · Physics 2009-11-13 F. Soyka , O. Zvyagolskaya , C. Hertlein , L. Helden , C. Bechinger

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

We investigate the nontrivial interplay between geometry and temperature in the Casimir effect for the sphere-plate and cylinder-plate configurations. At low temperature, the thermal contribution to the Casimir force is dominated by this…

High Energy Physics - Theory · Physics 2010-12-24 Alexej Weber , Holger Gies

The Phononic Casimir effect between planar objects is investigated by deriving a formalism from the quantum partition function of the system following multiscattering approach. This fluctuation-induced coupling is mediated by phonons…

Quantum Physics · Physics 2025-12-03 Pablo Rodriguez-Lopez , Dai-Nam Le , Lilia M. Woods

The Casimir effect in quantum electrodynamics (QED) is perhaps the best-known example of fluctuation-induced long-ranged force acting on objects (conducting plates) immersed in a fluctuating medium (quantum electromagnetic field in vacuum).…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

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

We consider the thermal Casimir effect in systems of parallel plates coupled to a mass-less free field theory via quadratic interaction terms which suppress (i) the field on the plates (ii) the gradient of the field in the plane of the…

Statistical Mechanics · Physics 2009-01-27 David S. Dean

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

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

Quantum Physics · Physics 2009-11-07 Timothy H. Boyer

We show the presence of a Casimir type force between domain walls in a two dimensional Heisenberg antiferromagnet subject to geometrical fluctuations. The type of fluctuations that we consider, called phason flips, are well known in…

Strongly Correlated Electrons · Physics 2013-03-22 Anuradha Jagannathan , Attila Szallas

We study thermal, fluctuation-induced hydrodynamic interaction forces in a classical, compressible, viscous fluid confined between two rigid, planar walls with no-slip boundary conditions. We calculate hydrodynamic fluctuations using the…

Statistical Mechanics · Physics 2015-12-24 Chris Monahan , Ali Naji , Ron Horgan , Bing-Sui Lu , Rudi Podgornik

Fluctuation-induced forces occur generically when long-ranged correlations (e.g., in fluids) are confined by external bodies. In classical systems, such correlations require specific conditions, e.g., a medium close to a critical point. On…

Statistical Mechanics · Physics 2019-07-30 Markus Gross , Christian M. Rohwer , S. Dietrich

We study collective interaction effects that result from the change of free quantum electrodynamic field fluctuations by one- and two-dimensional perfect metal structures. The Casimir interactions in geometries containing plates and…

Statistical Mechanics · Physics 2014-11-18 Sahand Jamal Rahi , Thorsten Emig , Robert L. Jaffe , Mehran Kardar

The interaction of bodies in a fluid, mediated by hydrodynamic fluctuations and proposed by Dzyaloshinskii, Lifshitz, and Pitaevskii, is calculated exactly for parallel infinite planes and is shown to be attractive. The second mechanism of…

Soft Condensed Matter · Physics 2007-05-23 B. I. Ivlev
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