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...

The optical properties of a concentric nanometer-sized spherical shell comprised of an (active) 3-level gain medium core and a surrounding plasmonic metal shell are investigated. Current research in optical metamaterials has demonstrated that including lossless plasmonic materials to achieve a negative permittivity in a nano-sized coated spherical particle can lead to novel optical properties s...

In this study, CeO2 hollow spherical nanoparticles, CeO2/SiO2 @ CeO2 core/shell composites,and hollow CeO2/SiO2 sensors were synthesized and their microstructures were researched byFT-IR, XRD, FESEM, EDX and BET analyses. The peaks observed in the FT-IR spectra of the synthesizedsamples corresponded to Ce-O stretching vibration (ca. 566 cm-1) and O-Si-O bendingvibration (ca. 470 cm-1). XRD diff...