Effects of shadowing on the scaling behavior of the ballistic deposition model

Abstract

In surface roughening of the growth process, the shadowing effect generated by non-normal incidence of particles is a kind of long-range interaction. It is found that the surface morphology and the bulk property in non-normal incidence are nontrivially affected by shadowing effect. In this paper, the effects of the oblique-incidence angle on scaling exponent, skewness and kurtosis in surface statistics and bulk porosity are investigated by simulating the oblique-incidence ballistic deposition model. The results illustrate that there are a non-monotonic relation between scaling exponents and oblique-incidence angle, and the finite size effects of skewness and kurtosis depend on oblique-incidence angle. The simulation results are also analyzed qualitatively in the paper.

Surface structures of equilibrium restricted curvature model on two fractal substrates

“…[1][2][3][4] The theoretical works mainly focused on the numerical and analytical analyzes of various discrete atomistic growth models and continuum dynamic equations. [1][2][3][4][5][6][7] It is widely known that the surface morphology usually has self-affine properties with simple space and time scaling properties, which can be described by the coarse-grained height variable h(i,t) or the growth height over the i-th lattice site at time t. The roughness of the surface is usually characterized by the surface width W , which is defined as the standard deviation or the root mean square fluctuation of the surface height…”