In the present study we propose a Monte Carlo algorithm which includes
a time-rescaling procedure, making feasible the simulation of systems
characterized by the presence of very different time scales. We have
applied this method to describe the disintegration of a cluster on a s
urface taking into account the presence of a small concentration of im
purities. The role of the impurities (when they interact attractively
with cluster particles) is to enhance the cluster stability. This resu
lt explains the long duration of nanostructures created on surfaces wh
en experimental conditions are not well controlled.