MULTIFRACTALITY OF GROWING SURFACES

We have carried out large-scale computer simulations of experimentally motivated (1 + 1)-dimensional models of kinetic surface roughening with power-law-distributed amplitudes of uncorrelated noise. The appropriately normalized qth-order correlation function of the height differences c(q)(x) = [\h(x + x')-h(x')\q] shows strong multifractal scaling behavior up to a crossover length depending on the system size, i.e., c(q)(x) approximately x(qH)q, where H(q) is a continuously changing nontrivial function. Beyond the crossover length conventional scaling is found.