Nanoscale Heterogeneous Structures in GeO₂–GeS₂ Glasses

Abstract

We use the analytic continuation procedure proposed in our earlier works to study the thermodynamics of black holes in 2 + 1 dimensions. A general black hole in 2 + 1 dimensions has g handles hidden behind h horizons. The result of the analytic continuation of a black-hole spacetime is a hyperbolic 3-manifold having the topology of a handlebody. The boundary of this handlebody is a compact Riemann surface of genus G = 2g + h − 1. Conformal moduli of this surface encode in a simple way the physical characteristics of the black hole. The moduli space of black holes of a given type (g, h) is then the Schottky space at genus G. The (logarithm of the) thermodynamic partition function of the hole is the Kähler potential for the Weil-Peterson metric on the Schottky space. The Bekenstein bound on the black-hole entropy leads us to conjecture a new strong bound on this Kähler potential.PACS number: 04.70.D

Selenium-loaded zeolite (ZSM-5): I. Structures and fundamental properties

“…[1][2][3] Threedimensional nanostructures, which can be obtained, for instance, in heterogeneous oxychalcogenide glasses such as GeO 2 -GeS 2 , also exhibit marked optical and photostructural properties. 1,4 On the other hand, studies on zero-and onedimensional nanostructured chalcogenides have relatively been limited. 1 A notable exception is to use the zeolite, 5 a variety of porous Si-Al-O crystals, and similar materials as hosts for incorporating low-dimensional chalcogen clusters.…”