6533b82afe1ef96bd128ca76
RESEARCH PRODUCT
Phase transformation kinetics in d-dimensional grains-containing systems: diffusion-type model
Jerzy ŁUczkaAdam GadomskiLutz Schimansky-geierM. Niemiecsubject
Statistics and ProbabilityGrain growthMaterials scienceTransformation (function)Diffusion processPhase (matter)Complex systemThermodynamicsGrain boundary diffusion coefficientGrain boundaryDiffusion (business)Condensed Matter Physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-01-01 | Physica A: Statistical Mechanics and its Applications |