Ballistic-Like Deposition of Particles on a Substrate as a Model for Surface Growth

Abstract

In this work a ballistic model for surface growth is proposed for two kinds of interacting particles. The basic processes involved during growth have been captured into two models, namely, ballistic-like and random-like. The first presents a growth process of films growing on a cold substrate while the latter incorporates surface diffusion that might happen at high temperatures. Two aspects are studied exten­ sively for both models by means of Monte Carlo simulations in search of a better understanding of the growth phenomena: The first is the kinetics while the second is the morphologies which give a clear inter­ pretation for the latter.

For the first model, we studied the kinetics of growth in (1+1)­ and (2+1)-dimensionswell as their corresponding morphologies. The study• comprises with different probabilities and different sys­ tem sizes in both dimensions. Also 'in (2+1)-dimensions the inter­ action is extended to the next-nearest-neighbours for the first time even in the case of ballistic models for one kind of particles. We found a phase transition in kinetics and morphologies; Pc = 0.28 and Pc = 0.5 in (1+1)- and (2+1)-dimensions, respectively. This transi­ tion is clear from the non monotonic behaviour of the saturated sur­ face width W(t = oo) scaled with the probability P. Also the growth