Abstract
Based on fractional differential generalizations of the Ham and Aaron-Kotler precipitation models, we study the kinetics of subdiffusion-limited growth and dissolution of new-phase precipitates. We obtain the time dependence of the number of impurities and dimensions of new-phase precipitates. The solutions agree with the Monte Carlo simulation results.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 183, No. 3, pp. 460–476, June, 2015.
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Sibatov, R.T., Svetukhin, V.V. Subdiffusion kinetics of nanoprecipitate growth and destruction in solid solutions. Theor Math Phys 183, 846–859 (2015). https://doi.org/10.1007/s11232-015-0301-3
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DOI: https://doi.org/10.1007/s11232-015-0301-3