The problem of the kinetics of new phase formation by a nucleation and growth mechanism is considered. A correction to the classical t4 law for the total volume fraction transformed which results from non-constant nucleation and growth rates is derived. The main qualitative difference from previous treatments is that the effects of transient nucleation and size-dependent growth rate are shown to be intimately related. This relation results in a much larger correction than anticipated. An elementary treatment of the problem is presented, and then the results are confirmed by rigorous analytical and numerical evaluation of the third moment of the distribution function.
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Ceramics and Composites
- Condensed Matter Physics
- Materials Chemistry