We present exact results on the behavior of the thermodynamic Casimir force and the excess free energy in the framework of the d -dimensional spherical model with a power law long-ranged interaction decaying at large distances r as r(-d-sigma) , where sigma<d<2sigma and 0<sigma< or =2 . For a film geometry and under periodic boundary conditions we consider the behavior of these quantities near ...

The Casimir energy is evaluated for massless scalar fields under Dirichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on one and two infinite parallel plates moving by uniform proper acceleration through the Fulling–Rindler vacuum in an arbitrary number of spacetime dimension. For the geometry of a single plate both regions of th...

Our branch predictor proposed for the Championship Branch Prediction (CBP) contest is a hybrid/mutation of many different ideas previously proposed in the literature, combined with a few new techniques. The mix of traces requires the predictor to handle both capacity (large tables) and deep correlation extraction (long branch histories), both made difficult by the relatively small hardware budg...

This paper presents the results of calculating van der Waals friction force (dissipative fluctuation-electromagnetic force) between metallic (Au) plates in relative motion at temperatures close to 1 K. The stopping tangential arises moving along with usual Casimir attraction, which has been routinely measured high precision over past two decades. At room temperatures, former is 10 orders magnit...

The Casimir force between an aluminum-coated plate with small sinusoidal corrugations and a large sphere was measured for surface separations between 0.1 and 0.9 mm using an atomic force microscope. The measured force shows significant deviation from the perturbative theory. The measured Casimir force between the same sphere and flat plate shows good agreement with the same theory in the limit ...

Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles. Abstract A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously used from the start and the properties of Bessel and related zeta functions are central. Nontrivial results concer...

We use free boson techniques to investigate AD -E-quiver matrix models. Certain higher spin fields in the free boson formulation give rise to higher order loop equations valid at finite N. These fields form a special kind of W-algebra, called Casimir algebra. We compute explicitly the loop equations for A r and D r quiver models and check that at large N they are related to a deformation of the...

The dynamics and the steady states of a point-like tracer particle immersed in confined critical fluid are studied. is modeled field-theoretically terms an order parameter (concentration or density field) obeying dissipative conservative equilibrium (non-)symmetry-breaking boundary conditions. tracer, which represents, e.g., colloidal particle, interacts with by locally modifying its chemical p...

We provide a review of both new experimental and theoretical developments in the Casimir e ect. The Casimir e ect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus, the Casimir force is a ...

A new " polarized version " of the Casimir Effect is measurable Abstract We argue that the exactly computable, angle dependent, Casimir force between parallel plates with different directions of conductivity can be measured.