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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 3, Pages 460–476
DOI: https://doi.org/10.4213/tmf8832 (Mi tmf8832) 		 
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
Full-text PDF (1352 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf8832
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-99674
Ministry of Education and Science of the Russian Federation 1643, 3.1862.2014K
Received: 03.12.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 3, Pages 846–859
DOI: https://doi.org/10.1007/s11232-015-0301-3
Bibliographic databases:
PACS: 81.40.Cd;
MSC: 82C24; 82C41
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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