An entropy based theory for the viscosity of strong glasses
L. Dagduga, L.S. García-Colínb*, P. Goldsteinc
a Universidad Autónoma Metropolitana Iztapalapa Apartado Postal 55-534, 09340 México D.F. México e-mail: dll@xanum.uam.mx
b Universidad Autónoma Metropolitana Iztapalapa Apartado Postal 55-534, 09340 México D.F. México e-mail: lgcs@xanum.uam.mx
c Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México e-mail: pgm@hp.fciencias.unam.mx
]]>Recibido el 27 de mayo de 2004;
aceptado el 29 de septiembre de 2004
Abstract
One of the main applications of the stochastic matrix method is the evaluation of the probability of finding boroxol rings and dendrites in a boron oxide glass. In this work, we calculate the configurational entropy of B203 using this probability and Shannon's definition of entropy. The isentropic temperature is evaluated obtaining a very good agreement with experimental data. Entropy is introduced into the Adam-Gibbs equation to calculate viscosity. The resulting expression fits the complete range of temperatures for the supercooled liquid.
Keywords: Supercooled liquid; glass transition; viscosity; entropy.
Resumen
Una de las principales aplicaciones del método de las matrices estocésticas es la evaluación de la probabilidad de encontrar anillos de boroxol y dentritas en un vidrio de óxido de boro. En este trabajo se calcula la entropía del B2O3 utilizando esta probabilidad y la definición de entropía de Shannon. Se evalúa la temperatura isentrópica obteniendo un muy buen acuerdo con los datos experimentales. La entropía se introduce en la ecuación de Adam-Gibbs para calcular la viscosidad. La expresión obtenida se ajusta a los valores reportados en el intervalo completo de temperaturas para el líquido sobreenfriado.
]]> Descriptores: Líquido sobreenfriado; transición vítrea; entropía.
PACS: 61.43.Fs; 64.70.Pf; 65.50.+m
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Acknowledgements
One of the authors (P.G.) wishes to acknowledge economical support from DGAPA-UNAM Proyecto IN107502.
References
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