Effects of surface diffusion length on steady-state persistence probabilities

Abstract

The dependence of the steady-state persistence probabilities (Ps) and exponents (θs) on surface diffusion length (l) for four discrete growth models is investigated. The persistence exponents which describe the decay of the persistence probabilities, the probabilities of the average of all initial height (h0), are increased as l is increased for all models. The results of one-dimensional Family ((1+1)-Family) and Das Sarma-Tamborenea ((1+1)-DT) models with kinetically rough film surface show the decrease of the growth exponent (β) with l. The l>1 results preserve the relation . In contrast, β is observed to increase with l for the two-dimensional larger curvature ((2+1)-LC) and Wolf-Villain ((2+1)-WV) models with mounded morphology. Our results show that the relation is not valid in l>1 cases in models with mounded surfaces. The persistence probabilities of a specific value of initial height (Ps(h0)) for l>1 are found to behave differently between mounded and kinetically rough models.