Bond Strength—Coordination Number Fluctuation Model of Viscosity: An Alternative Model for the Vogel-Fulcher-Tammann Equation and an Application to Bulk Metallic Glass Forming Liquids

Ikeda, Masahiro; Aniya, Masaru

doi:10.3390/ma3125246

Cited by 44 publications

(40 citation statements)

References 58 publications

(146 reference statements)

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“…In a recent study, it has been shown that the BSCNF model reproduces exactly the temperature dependence of the viscosity described by the VFT equation [10]. From this consideration, the parameters of the BSCNF model can be connected with those of the VFT equation.…”

Section: The Bond Strength-coordination Number Fluctuation Modelmentioning

confidence: 99%

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A comparative study of the viscosity of ion conducting polymers based on the bond strength-coordination number fluctuation model and other models

Sahara

Aniya²

2012

J Solid State Electrochem

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According to the bond strength-coordination number fluctuation (BSCNF) model of viscosity proposed some years ago by one of the authors, viscosity is controlled by the relaxation of structural units that form the melt, and is described in terms of the average bond strength, coordination number, and their fluctuations of the structural units. In the present paper, a comparative study of the viscosity of ion conducting polymeric system is presented. The analysis has been done though the BSCNF model and other models widely used in the literature such as Vogel-Fulcher-Tamman and Williams-Landel-Ferry equations. The result reveals that the three models describe well the temperature dependence of the viscosity reported experimentally. As a gross trend, the fragility of the polymeric system in consideration increases with the increase in the concentration of salts. Based on the analysis with the BSCNF model, such a behavior has been interpreted to arise from the disruption of the network that results by the addition of salts. The comparative study also reveals that the BSCNF model could provide a physical interpretation to the empirical parameters used in other models.

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Section: The Bond Strength-coordination Number Fluctuation Modelmentioning

confidence: 99%

“…According to the BSCNF model, the fragility index m is written in terms of the parameters B and C as [7,10] m ¼…”

Section: The Bond Strength-coordination Number Fluctuation Modelmentioning

confidence: 99%

A comparative study of the viscosity of ion conducting polymers based on the bond strength-coordination number fluctuation model and other models

Sahara

Aniya²

2012

J Solid State Electrochem

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“…According to [18], it was explained that the changes in the activation energies depending on the temperature led to the VFT behaviour, whereas a constant activation energy in the system produces an Arrhenius law. In our simulations, due to the interaction, systems with a single activation energy as well as systems with a distribution of activation energies produced the VF behaviour.…”

Section: Temperature Effectmentioning

confidence: 99%

Numerical Investigation of Dielectric Relaxation in Interacting Systems

Varakantham

Kliem

2021

IEEE Trans. Dielect. Electr. Insul.

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Three dimensional dielectric systems are simulated to obtain the relaxational polarization responses. The dielectric system consists of randomly distributed permanent dipoles that fluctuate due to thermal activation in double well potentials between two plane-parallel electrodes. The barrier height between the wells is assumed to be proportional to the dipole length. The electrodes' effect is considered with the method of images. The relaxational phenomena of two dielectric systems, one with fixed and the other with distributed dipole lengths having single and distributed relaxation times, respectively, are calculated with a Monte-Carlo simulation method. The local field at every dipole and consequently the transition probabilities are computed to determine the transient polarization response iteratively. Both dielectric systems are simulated over a wide range of temperatures for interacting and non-interacting cases. The mean relaxation times exhibit a Vogel-Fulcher law for interacting systems and an Arrhenius law for non-interacting systems. Index Terms-relaxational polarization, double well potentials, dipole-dipole interaction, temperature effect, method of images, computational materials science 2 SYSTEM MODEL Dielectric structures are modeled by assuming bidirectional dipoles that are randomly distributed in 3D space between the electrodes. These permanent dipoles fluctuate due to thermal

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“…The spectrum of relaxation times of glass-forming liquids and glasses is extremely broad, and it can be considered as a continuous spectrum . Naturally, this broad spectrum is observed not only for the relaxation of the dynamic heat capacity [3][4][5][6][7][18][19][20] but also for dielectric susceptibility [8][9][10][11][12][13][14][15][16][17][18], light scattering [23], and viscosity [8,[24][25][26]. Since the specific heat of glass-forming substances depends on time, it follows that the thermal response of these materials to a thermal perturbation at time t depends on the temperature distribution T t, → r in the system in previous times.…”

Section: Introductionmentioning

confidence: 99%

Integro-Differential Equation for the Non-Equilibrium Thermal Response of Glass-Forming Materials: Analytical Solutions

Минаков

Schick

2021

Symmetry

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An integro-differential equation describes the non-equilibrium thermal response of glass-forming substances with a dynamic (time-dependent) heat capacity to fast thermal perturbations. We found that this heat transfer problem could be solved analytically for a heat source with an arbitrary time dependence and different geometries. The method can be used to analyze the response to local thermal perturbations in glass-forming materials, as well as temperature fluctuations during subcritical crystal nucleation and decay. The results obtained can be useful for applications and a better understanding of the thermal properties of glass-forming materials, polymers, and nanocomposites.

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Bond Strength—Coordination Number Fluctuation Model of Viscosity: An Alternative Model for the Vogel-Fulcher-Tammann Equation and an Application to Bulk Metallic Glass Forming Liquids

Cited by 44 publications

References 58 publications

A comparative study of the viscosity of ion conducting polymers based on the bond strength-coordination number fluctuation model and other models

A comparative study of the viscosity of ion conducting polymers based on the bond strength-coordination number fluctuation model and other models

Numerical Investigation of Dielectric Relaxation in Interacting Systems

Integro-Differential Equation for the Non-Equilibrium Thermal Response of Glass-Forming Materials: Analytical Solutions

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