Multifractality of growing surfaces

We have carried out large-scale computer stimulation of experimentally motivated (1+1)- dimensional modes 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)~xqHq, where Hq is a continuously changing nontrivial function. Beyond the crossover length conventional scaling is found.


More publications
L.A.N. Amaral, A.-L. Barabási, H.E. Stanley

Physical Review Letters 73, 62–65 (1994)

T. Vicsek, Albert-Laszlo Barabási

Journal of Physics A 23, L845–L851 (1990)

L.A.N. Amaral, A.-L. Barabási, S.V. Buldyrev, S.T. Harrington, S. Havlin, R. Sadr-Lahijani, H.E. Stanley

Physical Review E 51, 4655–4673 (1995)