Multifractal analysis of growing surfaces

Abstract Multifractal scaling analysis is applied to the growing surfaces of random deposition model. The effect of number of deposited particles and lattice size on multifractal spectra is studied. Three cases of the growing surfaces are considered: (1) Same total number of particles deposited on different square lattice so that the number of particles deposited per surface site is different. (2) Different total number of particles deposited on different square lattice so that the number of particles deposited per surface site is the same. (3) Different total number of particles deposited on same square lattice to study the effect of number of deposited particles on multifractal spectra. The multifractal spectra are related to the surface irregularity of the growing surfaces. It has been observed that the surface with more surface roughness gives greater non-linearity in q–τ(q) multifractal spectra results in wider range of α values in α–f(α) multifractal spectra.