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 cq(x)=h(x+x )-h(x )q shows strong multifractal scaling behavior up to a crossover length depending on the system size, i.e., cq(x)xqqH, where Hq is a continuously changing nontrivial function. Beyond the crossover length, conventional scaling is found.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics