Analytical expressions for formal kinetics

In recent papers Rios and Villa resorted to developments in stochastic geometry to revisit the classical KJMA theory and generalize it for situations in which nuclei were located in space according to both homogeneous and inhomogeneous Poisson point processes as well as according to Matern cluster process and surface and bulk nucleation in small specimens. Rigorous mathematical methods were employed to ensure the reliability of the new expressions. These results are briefly described. Analytical expression for inhomogeneous Poisson point process nucleation gives very good agreement with Cellular Automata simulations. Cellular Automata simulations complement the analytical solutions by showing the corresponding microstructural evolution. These new results considerably expand the range of situations for which analytical solutions are available.