In this paper we compute the correction to the entropy of Schwarzschild black hole due to the vacuum polarization effect of massive scalar field. The Schwarzschild black hole is supposed to be confined in spherical shell. The scalar field obeying mixed boundary condition on the spherical shell.

Introduction. Cylindrical and spherical shells are extensively used in engineering. They face internal and/or external pressure heat. Stresses strains distribution elastoplastic has been studied by many scientists. Numerous works involve the use of von Mises yield conditions, maximum shear stress, reduced stress. These condi- tions do not include dependence on first invariant stress tensor sign...

Within the framework of Landau-de Gennes theory for nematic liquid crystals, we study temperature-induced isotropic-nematic phase transition on a spherical shell. Below critical temperature, thin layer coating microscopic particle exhibits non-uniform textures due to geometrical frustration. We find exact value threshold temperature and determine exactly at by means weakly nonlinear analysis. T...

In this letter we compute the correction to the entropy of Schwarzschild black hole due to the vacuum polarization effect of massive scalar field. The Schwarzschild black hole is supposed to be confined in spherical shell. The scalar field obeying mixed boundary condition on the spherical shell.

Fullerene molecules such as C(60) are large nearly spherical shells of carbon atoms. Pairs of such molecules have a strong long-range van der Waals attraction that can produce scattering or binding into molecular crystals. A simplified classical-electrodynamics model for a fullerene is a spherical metal shell, with uniform electron density confined between outer and inner radii (just as a simpl...

Thin metallic shallow spherical diaphragms are being used for measuring pneumatic pressure in process industries. The drift in vertex realized due to application of pressure is transformed into electrical signal and this is calibrated for pressure. We now propose a modified structure for the pressure cell by having double ended shallow spherical shells embedded with spherical corrugations as to...

Zn(x)Cd(1-x)Se/C core/shell nanocrystals with 31-39 nm semiconducting core and 11-25 nm carbon shell were synthesized from solid state precursors in large scale amounts. A mixture of spherical and tripod nanostructures were obtained only in the one-step reaction (ZC3), where the Zn- and Cd-precursors were reacted simultaneously, rather than in the two step reactions (ZC1 and ZC2), where largely...

Large-amplitude, geometrically non-linear vibrations of free-edge circular plates with geometric imper-fections are addressed in this work. The dynamic analog of the von Kármán equations for thin plates, with a stress-free initial deflection, is used to derive the imperfect plate equations of motion. An expansion onto the eigenmode basis of the perfect plate allows discretization of the equatio...