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Recent experiments have measured the critical Casimir force acting on a colloid immersed in a binary liquid mixture near its continuous demixing phase transition and exposed to a chemically structured substrate. Motivated by these…

Statistical Mechanics · Physics 2013-11-27 Francesco Parisen Toldin , Matthias Tröndle , S. Dietrich

The spatial suppression of order parameter fluctuations in a critical media produces Critical Casimir forces acting on confining surfaces. This scenario is realized in a critical binary mixture near the demixing transition point that…

Statistical Mechanics · Physics 2014-10-03 Oleg A. Vasilyev

We extend a recently introduced method for computing Casimir forces between arbitrarily--shaped metallic objects [M. T. H. Reid et al., Phys. Rev. Lett._103_ 040401 (2009)] to allow treatment of objects with arbitrary material properties,…

Quantum Physics · Physics 2011-10-21 M. T. Homer Reid , Jacob White , Steven G. Johnson

We give a short review on the static and dynamical Casimir effects, recalling their historical prediction, as well as their more recent experimental verification. We emphasise on the central role played by so-called {\it dynamical boundary…

High Energy Physics - Theory · Physics 2022-11-28 Benito A. Juárez-Aubry , Ricardo Weder

We present both exact and numerical results for the behavior of the Casimir force in $O(n)$ systems with a finite extension in one direction when the system is subjected to surface fields that induce helicity in the order parameter. We show…

Statistical Mechanics · Physics 2017-04-19 Daniel Dantchev , Joseph Rudnick

When massless excitations are limited or modified by the presence of material bodies one observes a force acting between them generally called Casimir force. Such excitations are present in any fluid system close to its true bulk critical…

Statistical Mechanics · Physics 2016-10-05 Daniel M Dantchev , Vassil M Vassilev , Peter A Djondjorov

The Casimir effect for Dirac as well as for scalar charged particles is influenced by external magnetic fields. It is also influenced by finite temperature. Here we consider the Casimir effect for a charged scalar field under the combined…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , M. R. Negrao , A. Tort

We study theoretically and experimentally the solvent-mediated critical Casimir force acting on colloidal particles immersed in a binary liquid mixture of water and 2,6-lutidine and close to substrates which are chemically patterned with…

Exploiting the mapping between a binary mixture and the Ising model we have analyzed the critical fluctuations by means of the density-matrix renormalization group technique. The calculations have been carried out for a two-dimensional…

Statistical Mechanics · Physics 2015-02-11 Małgorzata Zubaszewska , Andrej Gendiar , Tomasz Masłowski

We present detailed calculations for the Casimir force between a plane and a nanostructured surface at finite temperature in the framework of the scattering theory. We then study numerically the effect of finite temperature as a function of…

Quantum Physics · Physics 2015-01-27 R. Guérout , J. Lussange , H. B. Chan , A. Lambrecht , S. Reynaud

The difference of the thermal Casimir forces at different temperatures between real metals is shown to increase with a decrease of the separation distance. This opens new opportunities for the demonstration of the thermal dependence of the…

Quantum Physics · Physics 2009-11-10 F. Chen , G. L. Klimchitskaya , U. Mohideen , V. M. Mostepanenko

We study the thermodynamic Casimir force between a spherical object and a plate. We consider the bulk universality class of the three-dimensional Ising model, which is relevant for experiments on binary mixtures. To this end, we simulate…

Statistical Mechanics · Physics 2013-02-27 Martin Hasenbusch

We argue that the exactly computable, angle dependent, Casimir force between parallel plates with different directions of conductivity can be measured.

High Energy Physics - Theory · Physics 2009-12-31 O. Kenneth , S. Nussinov

Casimir interactions (due to the massless scalar field fluctuations) of two surfaces which are close to each other are studied. After a brief general presentation, explicit calculations for co-axial cylinders, co-centric spheres and…

High Energy Physics - Theory · Physics 2015-06-26 H. Ahmedov , I. H. Duru

The confinement of long-ranged critical fluctuations in the vicinity of second-order phase transitions in fluids generates critical Casimir forces acting on confining surfaces or among particles immersed in a critical solvent. This is…

Statistical Mechanics · Physics 2015-06-17 O. A. Vasilyev , S. Dietrich

We study the finite temperature Casimir interaction between two concentric cylinders. When the separation between the cylinders is much smaller than the radii of the cylinders, the asymptotic expansions of the Casimir interaction are…

Quantum Physics · Physics 2015-05-30 L. P. Teo

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its…

Quantum Physics · Physics 2008-11-26 M. Bordag , U. Mohideen , V. M. Mostepanenko

The Casimir force between a pair of parallell plates filled with ionic particles is considered. We use a statistical mechanical approach and consider the classical high temperature limit. In this limit the ideal metal result with no…

Statistical Mechanics · Physics 2009-03-18 J. S. Høye

We present a new Monte Carlo method to calculate Casimir forces acting on objects in a near-critical fluid, considering the two basic cases of a wall and a sphere embedded in a two-dimensional Ising medium. During the simulation, the…

Statistical Mechanics · Physics 2014-06-19 Hendrik Hobrecht , Alfred Hucht

We discuss the Casimir effect for massless scalar fields subject to the Dirichlet boundary conditions on the parallel plates at finite temperature in the presence of one fractal extra compactified dimension. We obtain the Casimir energy…

High Energy Physics - Theory · Physics 2015-05-30 Hongbo Cheng