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An approximation to the description of growth of coherent precipitates
Author(s) -
Simmich O.,
Löffler H.
Publication year - 1981
Publication title -
kristall und technik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0023-4753
DOI - 10.1002/crat.19810161016
Subject(s) - ostwald ripening , isotropy , diffusion , stability (learning theory) , thermodynamics , matrix (chemical analysis) , constant (computer programming) , precipitation , mathematics , statistical physics , materials science , physics , quantum mechanics , machine learning , meteorology , computer science , composite material , programming language
The tree‐dimensional growth of a spherical coherent particle in an isotropic infinite matrix is considered in the frame of the stationary solution of the classical diffusion equation applying W AGNERS approximation in a varied manner and taking into account both the concentration dependence of the diffusion constant D and the influence of elastic energy. From the obtained results qualitative conclusions are drawn on the stability of the precipitates during the OSTWALD‐ripening process in dependence on their size. The evaluations doubtlessly confirm the higher stability and the favoured growth of the larger precipitates.