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

Author

Listed:
  • Niemiec, M.
  • Gadomski, A.
  • Łuczka, J.
  • Schimansky-Geier, L.

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.

Suggested Citation

  • Niemiec, M. & Gadomski, A. & Łuczka, J. & Schimansky-Geier, L., 1998. "Phase transformation kinetics in d-dimensional grains-containing systems: diffusion-type model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(3), pages 365-378.
    • Handle: RePEc:eee:phsmap:v:248:y:1998:i:3:p:365-378
    DOI: 10.1016/S0378-4371(97)00420-2
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