We calculate the scalar Casimir energy and Casimir force for a R×N Kaluza-Klein piston setup in which the extra dimensional space N contains a non-commutative 2sphere, SFZ . The cases to be studied are T d × SFZ and SFZ respectively as extra dimensional spaces, with T d the d dimensional commutative torus. The validity of the results and the regularization that the piston setup offers are exami...

We study the critical Casimir force for a film geometry in the Ising universality class. We employ a homogeneous adsorption preference on one of the confining surfaces, while the opposing surface exhibits quenched random disorder, leading to a random local adsorption preference. Disorder is characterized by a parameter p, which measures, on average, the portion of the surface that prefers one c...

We present theoretical calculations of the Casimir force for Au thin films near the insulator-conductor transition that has been observed experimentally. The dielectric function of the Au thin films is described by the Drude-Smith model. The parameters needed to model the dielectric function such as the relaxation time, plasma frequency and the backscattering constant depend on the thickness of...

The Casimir force on a D-dimensional sphere due to the confinement of a massless scalar field is computed as a function of D, where D is a continuous variable that ranges from −∞ to ∞. The dependence of the force on the dimension is obtained using a simple and straightforward Green’s function technique. We find that the Casimir force vanishes as D → +∞ (D non-even integer) and also vanishes whe...

Using field-theoretical methods and exploiting conformal invari-ance, 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 symmetry is broken by the boundary conditions (extraordinary transition). Besides the parallel-plate configuration, we also discuss the geometries of two separate ...

" Screening " of universal van der Waals – Casimir terms by Coulomb gases in a fully-finite two-dimensional geometry Abstract. This paper is a continuation of a previous one [Jancovici B andŠamaj L, 2004 J. Stat. Mech. P08006] dealing with classical Casimir phenomena in semi-infinite wall geometries. In that paper, using microscopic Coulomb systems, the long-ranged Casimir force due to thermal ...

The critical Casimir force provides a thermodynamic analogue of the quantum mechanical Casimir force that arises from the confinement of electromagnetic field fluctuations. In its thermodynamic analogue, two surfaces immersed in a critical solvent mixture attract each other due to confinement of solvent concentration fluctuations. Here, we demonstrate the active assembly control of colloidal eq...

An exact statistical mechanical derivation is given of the critical Casimir forces for Ising strips with arbitrary surface fields applied to edges. Our results show that the strength as well as the sign of the force can be controlled by varying the temperature or the fields. An interpretation of the results is given in terms of a linked cluster expansion. This suggests a systematic approach for...

We find the combined effect of nonzero temperature and finite conductivity onto the Casimir force between real metals. Configurations of two parallel plates and a sphere (lens) above a plate are considered. Perturbation theory in two parameters (the relative temperature and the relative penetration depth of zero-point oscillations into the metal) is developed. Perturbative results are compared ...