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Subdiffusion kinetics of nanoprecipitate growth and destruction in solid solutions

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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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Authors and Affiliations

  1. Laboratory of Diffusion Process Modeling, Ulyanovsk State University, Ulyanovsk, Russia

    R. T. Sibatov & V. V. Svetukhin

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  1. R. T. Sibatov
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  2. V. V. Svetukhin
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Correspondence to R. T. Sibatov.

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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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