Kinetic Roughening with Algebraically Distributed Noise Amplitudes or Waiting Times

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Abstract (may include machine translation)

In this paper we report on numerical simulation results on Zhang’s prediction1 about the relevance of the distribution of noise amplitudes ηin kinetic surface roughening2. For power law distributions P(η) ∼ η-(1+μ) the roughening exponent depends on μ in both 1 + 1 and 2 -f 1 dimenions1,3–6. A new characteristic length occurs in this problem which separates a regime with multiscaling behavior from a regime where conventional scaling is found7. Anomalous exponents characterize the surface also in the case when waiting times on the growth sites are distributed according to a power law for “negative λ models”, i.e. if the growth velocity decreases with tilting the substrate.
Original languageEnglish
Title of host publicationGrowth Patterns in Physical Sciences and Biology
EditorsLeonard M. Sander, Paul Meakin, Enrique Louis, Juan Manuel Garcia-Ruiz
Place of PublicationNew York, New York
PublisherPlenum Press
Pages77-84
Number of pages8
ISBN (Print)9781461362357
DOIs
StatePublished - 1993

Publication series

NameNATO Science Series: B, ISSN 0258-1221 ; 304.

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