Application of Stochastic Geometry to Nucleation and Growth Transformations

Transformation kinetics for nucleation on second-phase particles: analytical solution and computer simulation

“…The computer simulation of the phase transformation in 3-d from these nuclei used the causal cone method [9,23]. The volume fraction transformed obtained by the simulation here was the volume fraction transformed of the volume outside the particles.…”

“…A well known theorem [41] states that V E;X ðt; xÞ is equal to the intensity measure (absolute number of nuclei), L S , of the nuclei located within the causal cone [9,23], Cðt; xÞ, at time t associated to the point x, where L S ðdyÞ ¼ l S ðyÞdy is the intensity measure of the nucleation process F S . It can be seen that Cðt; xÞ ¼ B Gt ðxÞ, and so…”