Phase transformation kinetics in d-dimensional grains-containing systems: diffusion-type model

M. Niemiec, A. Gadomski, J. Łuczka and L. Schimansky-Geier

Physica A: Statistical Mechanics and its Applications, 1998, vol. 248, issue 3, 365-378

Abstract: An analytical approach to the phase transformation in d-dimensional grains-containing complex systems is offered. It is based on considering the mechanism of surface material exchange among neighbouring grains as the so-called state-dependent diffusion process, where the diffusion function is related to the magnitude of the grain boundary. 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 the 3D case, and some possible practical realizations of the situation under study are discussed.

Keywords: Phase transition kinetics; Diffusion; Grain growth (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:248:y:1998:i:3:p:365-378

DOI: 10.1016/S0378-4371(97)00420-2

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