Ostwald Ripening of Diffusion-Limited Small-Size Precipitates at Grain Boundaries

Author(s) A.V. Koropov
Affiliations

Institute of Applied Physics of the National Academy of Sciences of Ukraine, 58, Petropavlivska Str., 40000 Sumy, Ukraine

Е-mail ipfmail@ipfcentr.sumy.ua
Issue Volume 4, Year 2012, Number 3
Dates Received 12 July 2012; revised manuscript received 30 September 2012; published online 29 October 2012
Citation A.V. Koropov, J. Nano- Electron. Phys. 4 No 3, 03013 (2012)
DOI
PACS Number(s) 61.72. – y, 64.70.Kb, 66.30.Jt, 68.35. – p, 81.10.Jt, 81.30.Mh
Key words Supersaturated Solid Solutions, Diffusion Decomposition, Precipitates, Ostwald Ripening, Real Crystals, Macrodefects, Grain Boundaries, Grain Boundary Diffusion, Ageing Metal Alloys, Reactor Constructional Materials, Radiation Strength, Diffusion Growth, Vacancy Pores.
Annotation
The paper describes a theoretical study of the Ostwald ripening of two-dimensional small-size precipitates of a newly formed phase at the grain boundary of finite thickness, taking into account the diffusion of impurity atoms from the grain interior to the grain boundary. The precipitate growth is believed to be limited by the impurity-atom diffusion in the grain boundary. The asymptotic time dependences are found for the average and critical precipitate radius, supersaturation of solid solution of impurity atoms in the grain boundary, precipitate size distribution function, precipitate density, and for the factor of grain boundary filling with precipitates. A discussion of the limits of validity of obtained results is given.

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