In its original form KJMA theory considered that nucleation sites were uniform randomly located in space.
As mentioned above, nucleation of a transformed region in polycrystals does often take place at grain boundaries, edges and vertices.
The second characteristic is that it also captures the dimensionality of the nucleation site.
In the present work we revisit and generalize the problem of nucleation on planes and lines treated by Cahn (1956) in the aforementioned paper.
Then a general expression for the case of nucleation on lower dimensional sets is obtained.
Since, in general, the nucleation is random in time and space, then the transformed region at any time t > 0 will be a random set (Stoyan et al.
whereas for a constant nucleation rate per unit of volume, [I.
One concrete case would be the nucleation and growth of ferrite from austenite in an iron-carbon alloy.
2002) derived an analytical expression for the volume fraction transformed for the case in which nucleation was site-saturated.
In this paper, we obtain general analytical solutions to the nucleation and growth model considering that there is a probability distribution of growth velocities of the grains.
both in the case of site-saturation and in the case of time dependent nucleation.
From the studies shown above, the multiple crystallization behavior is originated in primary nucleation of dispersed phase by different nucleation steps [28-33].
This result indicates that homogeneous nucleation of PP in the PC-rich compositions becomes more dominant than the heterogeneous nucleation when the PP is the dispersed droplets.
When the number of PP droplets is greater than the number of heterogeneous nuclei, the primary nucleation of PP droplets proceeds by homogeneous nucleation.
Burns and Turnbull  have studied the kinetics of crystal nucleation in the melted PP.