This article is cited in 8 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.

PACS: 81.40.Cd;

MSC: 82C24; 82C41

Received: 03.12.2014

DOI: 10.4213/tmf8832

 English version: Theoretical and Mathematical Physics, 2015, 183:3, 846–859

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