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A theoretical framework for the Vogel-Fulcher-Tammann equation for covalent network glasses derived by the stochastic matrix method

L Dagdug

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A strong/fragile-liquid pattern has been used as the basis for a classification of glass-forming liquids indicating the sensitivity of the liquid structure to temperature changes. Also, variations in `fragility' have been observed in the ternary system Ge-As-Se depending on the average coordination number. In recent papers, using a statistical method based on stochastic transition matrices, an equation for the viscosity of the strong glass-forming liquid B2O3 was obtained. In this work we find a theoretical equation for the viscosity for three different types of covalent network glass. To achieve this end, the average relaxation time is taken as inversely proportional to the average transition probability. To find an expression for the transition probability, previous results obtained by the stochastic matrix method were used. The temperature derivative method for finding the functional dependence for the relaxation time was also used; we arrived at a theoretical expression that predicts a variation in `fragility' for the covalent network glasses that depends on the concentration (or coordination number).


PACS

64.70.P- Glass transitions of specific systems

61.43.Bn Structural modeling: serial-addition models, computer simulation

66.20.-d Viscosity of liquids; diffusive momentum transport

Subjects

Soft matter, liquids and polymers

Condensed matter: structural, mechanical & thermal

Dates

Issue 46 (20 November 2000)

Received 1 November 1999, in final form 12 September 2000



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