Extreme statistics of intensity fluctuations in nonequilibrium steady states

Geza Gyorgyi; Peter C. W. Holdsworth; Zoltan Racz; Baptiste Portelli

doi:10.1117/12.546933

25 May 2004 Extreme statistics of intensity fluctuations in nonequilibrium steady states

Geza Gyorgyi, Peter C. W. Holdsworth, Zoltan Racz, Baptiste Portelli

Proceedings Volume 5469, Fluctuations and Noise in Materials; (2004) https://doi.org/10.1117/12.546933
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

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.

Citation Download Citation

Geza Gyorgyi, Peter C. W. Holdsworth, Zoltan Racz, and Baptiste Portelli "Extreme statistics of intensity fluctuations in nonequilibrium steady states", Proc. SPIE 5469, Fluctuations and Noise in Materials, (25 May 2004); https://doi.org/10.1117/12.546933

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