It was noted that when a stochastic system, during some period of its evolution, could be divided into non-interacting parts the kinetics of each part could be simulated independently. It was shown that this could be exploited in the development of efficient Monte Carlo algorithms. As an illustrative example, a simulation of the irreversible growth of extended one-dimensional islands was

used. The approach permitted the simulation of systems which were characterized by parameters that were superior to those used in previous simulations.

Accelerated Kinetic Monte Carlo Algorithm for Diffusion-Limited Kinetics. V.I.Tokar, H.Dreyssé: Physical Review E, 2008, 77[6], 066705