The problem with the temperature dependence of the Casimir force is investigated. We analyse high-temperature limit analytically making calculations at real frequencies. The purpose is to answer the question why there is no continuous transition between real and ideal metals and why the result does not depend on the relaxation frequency. It is found that the contribution of evanescent s polariz...

A simple model of spacetime foam, made by N wormholes in a semiclassical approximation, is taken under examination. The Casimir-like energy of the quantum fluctuation of such a model and its probability of being realized are computed. Implications on the Bekenstein-Hawking entropy and the cosmological constant are considered.

We prove the nonlinear stability in L p , with 1 p 2, of particular steady solutions of the Vlasov-Poisson system for charged particles in the whole space IR 6. Our main tool is a functional associated to the relative entropy or Casimir-energy functional.

The Casimir attraction can significantly interfere the physical response of nanoactuators. The intensity of the Casimir force depends on the geometries of interacting bodies. The present paper is dedicated to model the influence of the Casimir attraction on the electrostatic stability of nanoactuators made of cylindrical conductive nanowire/nanotube. An asymptotic solution, based on path-integr...

We prove the nonlinear stability in L p , with 1 p 2, of particular steady solutions of the Vlasov-Poisson system for charged particles in the whole space IR 6. Our main tool is a functional related to the relative entropy or Casimir-energy functional.

in this paper, we study the casimir effect of a scalar field with dirichlet boundary condition in some certain topologies. by numerical analysis we show that casimir energy is a shape-dependent quantity. we also obtain the phase transition in different topologies in which the casimir force changes from attractive to repulsive or vice versa.  eararqr

We consider static non-extremal charged black hole solutions in the context of N = 2 gauged supergravity theories in five dimensions, and we show that they satisfy first-order flow equations. Then we analyze the motion of the dual brane in these black hole backgrounds. We express the entropy in terms of a Cardy-Verlinde-type formula, and we show that the equations describing the FRW cosmology o...

We obtain an asymptotic expansion for the heat-kernel, and from that the density of the free energy, for a minimally coupled scalar field in a Schwarzschild geometry at finite temperature. This gives us the zero-point energy density as a function of the distance from the massive object generating the gravitational field. The contribution to the zero-point energy due to the curvature is extracte...