Time evolution of growth phenomena in the KPZ model Original Research Article

Using a numerical approach based on parallel processing, the time evolution of a growing surface has been studied in the framework of the Kardar-Parisi-Zhang model. The growth term has been introduced as noise with a Gaussian distribution, a nonzero mean value and spatial Gaussian correlations. The procedure allowed us to demonstrate that both surface width and relative porosity evolve towards a steady state. The short-time behaviour and the dependence on the specimen dimension of the asymptotic value of these quantities have been investigated.