Time-evolution of grain size distributions in random nucleation and growth crystallization processes

@article{Teran2009TimeevolutionOG,
  title={Time-evolution of grain size distributions in random nucleation and growth crystallization processes},
  author={Anthony V Teran and Ralf B. Bergmann and Andreas Bill},
  journal={Physical Review B},
  year={2009},
  volume={81},
  pages={075319}
}
We study the time dependence of the grain size distribution $N(\mathbf{r},t)$ during crystallization of a $d$-dimensional solid. A partial differential equation, including a source term for nuclei and a growth law for grains, is solved analytically for any dimension $d$. We discuss solutions obtained for processes described by the Kolmogorov-Avrami-Mehl-Johnson model for random nucleation and growth (RNG). Nucleation and growth are set on the same footing, which leads to a time-dependent decay… Expand

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