Models describe crystal growth patterns in finite volumes, suggesting implications for ferroelectric behavior.
The formulas previously derived for finite systems on the basis of the Kolmogorov-Avrami model are applied to the growth on the periphery of circles and on the surface of spheres, which are of a finite size but without boundaries. The inward growth with nuclei existing only on the periphery and the surface is also studied. The position dependence of the fractional transformed volumes is explicitly shown. Results are discussed in relation to ferroelectric polarization reversals.
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Nagaya et al. (1994) studied this question.
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