Stochastic matrix description of glass transition in ternary chalcogenide systems

摘要

A method using stochastic transfer matrices is applied to description of microcluster growths in typical ternary chalcogenide glasses (Ge-As-Se and Ge-Sb-Se systems) during glass transition. By finding the unit eigenvalue and eigenvector of the stochastic matrix, an analytical relation between the glass transition temperature and the concentration of atomic species is found. In the chalcogen-rich region this formula reproduces the experimentally observed modified Gibbs-DiMarzio equation, which is a semi-empirical rule that relates the average coordination number with the glass transition temperature, using a parameter beta which is fixed by the experimental data. The present approach allows us to predict a beta close to the observed one. (C) 1998 Published by Elsevier Science B.V. All rights reserved. [References: 10]