The combined effects of growth rate anisotropy and finite size effects upon the transformation rate of two-dimensional films are examined. Probabilistic arguments used in previous studies are applied to derive expressions for X(t), the fraction transformed as a function of time, for the limiting cases of large and small seeding densities. Numerical calculations show that in the former situation the transformation law deviates only slightly from that of the infinite sample result, while in the latter case the transformation rates are slower. For elliptical particles, the transformation rate is reduced slightly as the anisotropy increases.
ASJC Scopus subject areas
- Ceramics and Composites
- Electronic, Optical and Magnetic Materials