Generalization of the stochastic matrix method and theoretical framework for the VFT equation in strong glasses
L Dagdug; L S García-Colín; L Dagdug; Departamento de Física, Universidad Autónoma Metropolitana, Iztapalapa, Apartado Postal 55-534, 09340 México, D.F., Mexico; L S García-Colín; Departamento de Física, Universidad Autónoma Metropolitana, Iztapalapa, Apartado Postal 55-534, 09340 México, D.F., Mexico
Журнал:
Journal of Physics: Condensed Matter
Дата:
1999-06-21
Аннотация:
In a recent paper the probability of forming a ring in vitreous B<sub>2</sub>O<sub>3</sub> was evaluated using the stochastic matrix method, as a description of the growth process of a solid. In this work we generalize this method for the same substance introducing a probabilistic cut-off temperature and find a theoretical Vogel-Fulcher-Tamman-like equation for the average relaxation time (or viscosity) of the strong-glass-forming liquid. We take the average relaxation time to be inversely proportional to the probability of forming a ring, calculated for a large number of steps of growth. We also use the temperature derivative method to recognize the functional dependence of the relaxation time.
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