Analysis by the two different approaches of the Avrami equation was performed: first the classical double logarithmic approximation was used, but a non-linear least squares search showed to clearly improve the
equation and using Eq. 5 , we obtain c t =n t g t / S t . Putting this back into Eq. 3 , we obtain an equation for n t : 1 n t n t t = − 2vg t + I t g t . 7 This is a first-order linear equation and can be solved exactly. Using the boundary con...
The kinetic exponent (n) can be calculated if E is known. However, a double logarithmic function is not very sensitive to subtle changes of the variables. Therefore, the plot of ln[−ln(1−α)] vs. 1/T may appear quite linear even when the ...
Crystallization upon non-linear cooling. We restrict ourselves to the isothermal kinetics described by the JMAK equation because the main idea is to demonstrate the application of the Mittag-Leffler function to a non-local extension of this kinetic model rather than to start modeling from first prin...