We study the dynamics of crystallization in phase-change materials using a master-equation approach in which the state of the crystallizing material is described by a cluster size distribution function. A model is developed using the thermodynamics of the processes involved and representing the clusters of size two and greater as a continuum but clusters of size one (monomers) as a separate equation. We present some partial analytical results for the isothermal case and for large cluster sizes, but principally we use numerical simulations to investigate the model. We obtain results that are in good agreement with experimental data and the model appears to be useful for the fast simulation of reading and writing processes in phase-change optical and electrical memories.
Blyuss, K. B., Ashwin, P., Bassom, A., & Wright, C. D. (2005). Master-equation approach to the study of phase-change processes in data storage media. Physical Review E, 72(1), online - approx 5-20pp. https://doi.org/10.1103/PhysRevE.72.011607