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Multiple-to-dominant path collapse of linked-flux model for diffusion-limited nucleation

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1 January 2013
Publication year: 2013
Source:Journal of Crystal Growth, Volume 362

While capable of estimating diffusion-limited nucleation rates, Kelton's linked-flux model has no simple solution. To increase the model's usability, we simplify the model by retaining only the dominant nucleation path to obtain a series solution. The solution agrees well with the Kelton's model's predictions of the nucleation rate, and thus provides a simple estimate of diffusion-limited nucleation rates.

Highlights

► We simplify Kelton's linked-flux model for diffusion-limited nucleation. ► We reduce the binary model to a unary model. ► We obtain a series solution to the simplified model. ► The solution agrees well with the original model's nucleation rate.

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