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This article is cited in 7 scientific papers (total in 7 papers)
Subdiffusion kinetics of nanoprecipitate growth and destruction in solid solutions
R. T. Sibatov, V. V. Svetukhin Ulyanovsk State
University, Laboratory of Diffusion Process Modeling, Ulyanovsk, Russia
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.
Keywords:
subdiffusion, nanoprecipitate, fractional derivative, supersaturated solid solution, Monte Carlo method.
Received: 03.12.2014
Citation:
R. T. Sibatov, V. V. Svetukhin, “Subdiffusion kinetics of nanoprecipitate growth and destruction in solid solutions”, TMF, 183:3 (2015), 460–476; Theoret. and Math. Phys., 183:3 (2015), 846–859
Linking options:
https://www.mathnet.ru/eng/tmf8832https://doi.org/10.4213/tmf8832 https://www.mathnet.ru/eng/tmf/v183/i3/p460
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Abstract page: | 409 | Full-text PDF : | 180 | References: | 68 | First page: | 21 |
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