Multifractality of growing surfaces

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

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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
Issue number10
Publication statusPublished - Jan 1 1992

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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    Barabasi, A. L., Bourbonnais, R., Jensen, M., Kertész, J., Vicsek, T., & Zhang, Y. C. (1992). Multifractality of growing surfaces. Physical Review A, 45(10), R6951-R6954.