Arrhenian to non-Arrhenian crossover in glass melt viscosity

Hrma, Pavel R.; Ferkl, Pavel; Kruger, Albert A.

doi:10.1016/j.jnoncrysol.2023.122556

Cited by 7 publications

(19 citation statements)

References 25 publications

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“…Frenkel [1]. It was then further developed in the works of Duglas [34], Angell and Rao [28], Filipovich [30], Nemilov [31], Doremus [35], and later by the Sheffield School of Glass [36], also known as the DDO model [8]. In a more rigorous approach, E(T) should be understood as the free energy of activation, as is customary in the classical works of Eyring [37].…”

Section: Discussionmentioning

confidence: 99%

Section: Modeling the Viscositymentioning

confidence: 99%

“…Figure 1 also provides the universal viscosity equation [3], which is valid at all temperatures although it requires at least four parameters to be fitted to experimental data-the so-called Douglas-Doremus-Ojovan (DDO) double-exponential model (see Chapter 8 of Ref. [8]). This work is devoted to estimating the temperature dependence of the activation energy of viscous flow for several chalcogenide compositions within the temperature range (2): T g < T < T A .…”

Section: Modeling the Viscositymentioning

confidence: 99%

“…where Tm is the melting temperature and k = 1.1 ± 0.15 (see for details Figure 3b of reference [7]). In addition, the TA of certain glass families, such as float and nuclear waste glasses, can be defined using a fixed viscosity value which is independent of composition [8]. Figure 1 also provides the universal viscosity equation [3], which is valid at all temperatures although it requires at least four parameters to be fitted to experimental data-the so-called Douglas-Doremus-Ojovan (DDO) double-exponential model (see Chapter 8 of Ref.…”

Section: Introductionmentioning

confidence: 99%

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The Activation Energy Temperature Dependence for Viscous Flow of Chalcogenides

Mashanov,

Ojovan,

Darmaev

et al. 2024

Applied Sciences

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For some chalcogenide glasses, the temperature dependence of the activation energy E(T) of viscous flow in the glass transition region was calculated using the Williams–Landel–Ferry (WLF) equation. A method for determining the activation energy of viscous flow as a function of temperature is proposed using the Taylor expansion of the function E(T) using the example of chalcogenide glasses As-Se, Ge-Se, Sb-Ge-Se, P-Se, and AsSe-TlSe. The calculation results showed that the temperature dependence of the activation energy for the Ge-Se, As-Se, P-Se, AsSe-TlSe, and AsSe systems is satisfactorily described by a polynomial of the second degree, and for Sb-Ge-Se glass by a polynomial of the third degree. The purpose of this work is to compare the values of the coefficients obtained from the Taylor series expansion of E(T) with the characteristics of the E(T) versus (T − Tg) curves obtained directly from the experimental temperature dependence of viscosity. The nature of the dependence E(T) is briefly discussed.

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Section: Discussionmentioning

confidence: 99%

Section: Modeling the Viscositymentioning

confidence: 99%

Section: Modeling the Viscositymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Activation Energy Temperature Dependence for Viscous Flow of Chalcogenides

Mashanov,

Ojovan,

Darmaev

et al. 2024

Applied Sciences

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“…The purpose of this paper is to show that the temperature at which viscosity attains its minimal value ( T vm ) and minimal viscosity ( η m ) can be assessed using extensions of well-tested microscopical viscosity models, such as the Eyring–Kaptay (EK) [ 34 , 35 ] or Douglas–Doremus–Ojovan (DDO) models [ 7 , 20 , 26 , 36 ], which present some examples of such calculations. Although our results stand in line with previous works, they present practical interest for the following: Experimental and practical applications (see, e.g., [ 1 , 2 ]); Calculations of the activation energy of flow demonstrating that extremely high viscosity temperature data will not be accounted for via simplified Arrhenius equations used in precise calculations.…”

Section: Introductionmentioning

confidence: 99%

On Crossover Temperatures of Viscous Flow Related to Structural Rearrangements in Liquids

Ojovan,

Louzguine-Luzgin

2024

Materials

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An additional crossover of viscous flow in liquids occurs at a temperature Tvm above the known non-Arrhenius to Arrhenius crossover temperature (TA). Tvm is the temperature when the minimum possible viscosity value ηmin is attained, and the flow becomes non-activated with a further increase in temperature. Explicit equations are proposed for the assessments of both Tvm and ηmin, which are shown to provide data that are close to those experimentally measured. Numerical estimations reveal that the new crossover temperature is very high and can barely be achieved in practical uses, although at temperatures close to it, the contribution of the non-activated regime of the flow can be accounted for.

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