Influences of large height differences and overhangs on the dynamic scaling behavior of discrete models

In order to investigate the influences of large height differences and overhangs on the dynamic scaling behavior of discrete models, meanwhile reducing the finite-size effects, the Etching model is modified to reduce large height differences, and the overhangs in Ballistic Deposition surfaces are removed under certain principles. Numerical simulations are carried out for the modified models, and the results show that the modified surfaces lead to good dynamic scaling behavior even on small system length scales. The values of the dynamic scaling exponents are in excellent agreement with theoretical predictions of the Kardar-Parisi-Zhang equation in (1+1) dimensions.