Multifractality of growing surfaces

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

doi:10.1103/PhysRevA.45.R6951

Multifractality of growing surfaces

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

^*Corresponding author for this work

Eötvös Loránd University
Jülich Research Centre
NORDITA
University of Cologne
Centre for Energy Research
National Institute for Nuclear Physics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	R6951-R6954
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	45
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevA.45.R6951
State	Published - 1992
Externally published	Yes

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title = "Multifractality of growing surfaces",

abstract = "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.",

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year = "1992",

doi = "10.1103/PhysRevA.45.R6951",

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AU - Bourbonnais, Roch

AU - Jensen, Mogens

AU - Kertész, Janos

AU - Vicsek, Tamas

AU - Zhang, Yi Cheng

PY - 1992

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AB - 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.

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JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 10

ER -

Multifractality of growing surfaces

Abstract (may include machine translation)

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