Asymptotic formulas for the Lyapunov spectrum of fully developed shell model turbulence
نویسندگان
چکیده
منابع مشابه
Asymptotic formulas for the Lyapunov spectrum of fully developed shell model turbulence
The scaling behavior of the Lyapunov spectrum of a chaotic shell model for three-dimensional turbulence is studied in detail. First, we characterize the localization property of the Lyapunov vectors in wave-number space by using numerical results. By combining this localization property with Kolmogorov’s dimensional argument, we deduce explicitly the asymptotic scaling law for the Lyapunov spec...
متن کاملAsymptotic formulae for the Lyapunov spectrum of fully-developed shell model turbulence
We study the scaling behavior of the Lyapunov spectra of a chaotic shell model for 3D turbulence. First, we quantify localization of the Lyapunov vectors in the wavenumber space by using the numerical results. Using dimensional arguments of Kolmogorov-type, we then deduce explicitly the asymptotic scaling behavior of the Lyapunov spectra. This in turn is confirmed by numerical results. This she...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.57.r6257