Monte Carlo simulations of the kinetics of migration and coalescence of nm-sized metal particles on a uniform surface and a surface with traps in the physically reasonable case when the diffusion coefficient of particles varies inversely as the fourth power of the particle size are presented....

In the conventional Avrami–Kolmogorov–Johnson–Mehl model, the reaction or phase transition occurring in the 2D or 3D infinite medium is considered to start and proceed around randomly distributed and/or appearing nucleation centers. The radius of the regions transformed is assumed to...