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Proceedings Paper

Extreme statistics of intensity fluctuations in nonequilibrium steady states
Author(s): Geza Gyorgyi; Peter C. W. Holdsworth; Zoltan Racz; Baptiste Portelli
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Paper Abstract

Stochastic surface growth driven by surface tension (Edwards-Wilkinson model) is investigated. The much studied stationary state, characterized by Gaussian distributed Fourier modes with power-law dispersion, is reexamined here to include extremal value statistics. We calculate the probability distribution of the largest Fourier intensity and find that, generically, it does not obey any of the known extreme statistics limit distributions, apart from special border cases where the Fisher-Tippett-Gumbel (FTG) distribution emerges. If a gap is, however, introduced in the dispersion then necessarily the FTG distribution is recovered.

Paper Details

Date Published: 25 May 2004
PDF: 3 pages
Proc. SPIE 5469, Fluctuations and Noise in Materials, (25 May 2004); doi: 10.1117/12.546933
Show Author Affiliations
Geza Gyorgyi, Eotvos Lorand Univ. (Hungary)
Peter C. W. Holdsworth, Ecole Normale Superieure de Lyon (France)
Zoltan Racz, Eotvos Lorand Univ. (Hungary)
Baptiste Portelli, Ecole Normale Superieure de Lyon (France)

Published in SPIE Proceedings Vol. 5469:
Fluctuations and Noise in Materials
Dragana Popovic; Michael B. Weissman; Zoltan A. Racz, Editor(s)

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