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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.12402 |
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Table of Contents:
- The crystallization proceeds by the advance of the crystal faces into the disordered phase at the expense of the supersaturation which is not sustained in our model. Using a conservation constraint for the transformation ratio and a kinetic law, we derive a general equation for the rate of transformation. It is integrated for the six combinations of the three spatial dimensions D = 1, 2, 3 and the two canonical values of the growth order (1 and 2). The same equation with growth order 1 is obtained when taking only the linear term from the Taylor's expansion around 0 transformation of the model of Johnson-Mehl-Avrami-Kolmogorov(JMAK). We verify our model by fitting it with JMAK. We start the validation of our model in 2D with published results.