Particle Shape-Induced Correlation Effect In Random Deposition In 1+1 Dimension And Related Effect In Ballistic Deposition

This work is a systematic computational study of random and ballistic deposition (BD) in 1+1 dimension for deposition of two differently shaped particles. The effect of particle shape and size on different growth parameters has been reported. It has been observed that when the shape of the particle gets changed, the surface that evolves following the mechanism of random deposition (RD) model shows acute correlation effect. The growth appeared with two regions along with saturation with two acutely different slopes, one of which is around 0.5 and, other is nearly 0.33. This shows that initially, the deposition obeys the RD model, while when particle shape changes correlation gets introduced, the deposition mechanism obeys the law of BD. Same when applied in the case of BD, it had been observed that introduction of this artificial correlation introduces another region in the growth regime separating the entire regime into three parts along with saturation. In each case, different critical exponents were calculated along with the other associated parameters like porosity, growth velocity, etc. Also, it has been shown that porosity has profound effect on size and shape of the particle deposited and it varies between 0 and 0.5 for the surfaces evolved by RD model whereas the same has value between 0.75 and 0.6 in the case of BD.