Abstract
A simple and general procedure is presented for the calculation of bivariate particle growth paths (and, hence, local particle growth rates) from the experimentally measured series of bi- variate size distributions during an evolutionary process. For modeling of microstructural evo- lution, a mathematical relationship is derived to relate the bivariate particle size distribution function to the nucleation rate and growth rate. A deterministic nucleation and growth process is assumed, and hence, the results are applicable only to the "mean field" models of nucleation and growth. A generalized continuity equation is derived for evolving bivariate and multivariate distributions.
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