FRACTAL PROPERTIES OF A ONE-DIMENSIONAL FILM SURFACE

The fractal dimension of films formed by random deposition of particle s onto a surface was investigated by means of computer simulation. Uni t-square particles are deposited randomly onto a one-dimensional latti ce of unit cells, forming clusters. The relation between the density o f particles, proportional to the thickness of the film, and the fracta l dimension of the clusters was obtained for a static case of a consta nt average density of particles. The results show that the fractal dim ensions are less than one in agreement with Tanaka's quantitative pred ictions. For small densities of particles the dimensions are significa ntly less than one, while for larger clusters the dimensions tend to u nity and the fractal properties disappear.