Multifractality of growing surfaces

Albert Laszla Barabasi*, Roch Bourbonnais, Mogens Jensen, Janos Kertész, Tamas Vicsek, Yi Cheng Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract (may include machine translation)

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.

Original languageEnglish
Pages (from-to)R6951-R6954
JournalPhysical Review A
Volume45
Issue number10
DOIs
StatePublished - 1992
Externally publishedYes

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