Geodesic
Subdiffusion kinetics of nanoprecipitate growth and destruction in solid solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 460-476

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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.
Mots-clés : subdiffusion
Keywords: nanoprecipitate, fractional derivative, supersaturated solid solution, Monte Carlo method. 
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     author = {R. T. Sibatov and V. V. Svetukhin},
     title = {Subdiffusion kinetics of nanoprecipitate growth and destruction in solid solutions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {460--476},
     publisher = {mathdoc},
     volume = {183},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a8/}
}
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R. T. Sibatov; V. V. Svetukhin. Subdiffusion kinetics of nanoprecipitate growth and destruction in solid solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 460-476. http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a8/