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Experimental data for various amorphous polymers are described successfully.
The experimental measurements are described successfully by a phenomenological mean-field theoretical analysis.
Process dynamics were described successfully using a homogeneous surface diffusion model with external mass transfer and a surface diffusion coefficient that increases with surface coverage.
The flow has been described successfully by regarding the convergent flow to be governed by a yield mechanism and the plug flow in the die-land by wall resistance.
Applying the present model, the overall kinetic behavior of γ/α transformation in binary substitutional Fe-based alloys (e.g. Fe Mn and Fe Cu) upon cooling, measured by dilatometry, is described successfully.
Although most of these models have been restricted to integer-order differential equations (IDEs), in the last three decades, it has turned out that many problems in different fields such as sciences, engineering, finance, economics and in particular epidemiology can be described successfully by the fractional-order differential equations (FDEs) (see, e.g., [7 12]).
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The model describes successfully the kinetics and the complete fibril length distribution in both conditions.
It allows describing successfully the delayed apparition of cavitation with increasing temperature and decreasing crystal thickness.
These lattice and cellular equilibrium models, like percolation approaches, describe successfully experimental fragment multiplicity distributions.
Many existing models describe successfully only average conditions of the non-auroral, non-perturbed ionosphere, like the empirical global International Reference Ionosphere (IRI) model (Bilitza 2001).
The kinetic model of the redox process taking into account surface interactions and diffusion of oxygen, hydrogen and hydroxy ions in the oxide lattice can describe successfully the experimental data.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com