Phase Transformation Kinetics in D-dimensional Grains-containing Systems: Diiusion-type Model
نویسندگان
چکیده
An analytical approach to the phase transformation in d-dimensional grains-containing complex systems is o ered. It is based on considering the mechanism of surface material exchange among neighbouring grains as the so-called state-dependent di usion process, where the diffusion function is related to the magnitude of the grain circumference. The approach proposed deals with the kinetics of that ensemble under circumstances of a volume increase of the new phase or microstructure. Probabilistic characteristics of the process are derived and analyzed. A comparison with 2d modelling of similar kind is presented for 3d case, and some possible practical realizations of the situation under study are discussed.
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