By Han-Ru Cho (auth.), D. Schertzer, S. Lovejoy (eds.)
consequences of damaged symmetry -here parity-is studied. during this version, turbulence is ruled through a hierarchy of helical (corkscrew) constructions. The authors tension the original gains of such pseudo-scalar cascades in addition to the extraordinary nature of the ensuing (intermittent) fluctuations. Intermittent turbulent cascades was once additionally the topic of a paper by way of us during which we convey that universality periods exist for non-stop cascades (in which an unlimited variety of cascade steps happen over a finite diversity of scales). This result's the multiplicative analogue of the widespread vital restrict theorem for the addition of random variables. eventually, a fascinating paper through Pasmanter investigates the scaling linked to anomolous diffusion in a chaotic tidal basin version related to a small variety of levels of freedom. even if the statistical literature is replete with options for facing these random methods characterised by means of either exponentially decaying (non-scaling) autocorrelations and exponentially decaying chance distributions, there's a actual paucity of literature acceptable for geophysical fields showing both scaling over broad levels (e. g. algebraic autocorrelations) or severe fluctuations (e. g. algebraic chances, divergence of excessive order statistical moments). in reality, concerning the in basic terms proper strategy that's frequently used -fourier research (energy spectra) -permits merely an estimate of a unmarried (power legislation) exponent. If the fields have been mono-fractal (characterized via a unmarried fractal size) this may be adequate, despite the fact that their mostly multifractal personality demands the improvement of latest techniques.
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Frisch, A. Yakhot, and R. Kraichnan, 1986: Report at the APS meeting, Columbus, Ohio (Nov. 1986). DElERMINISTIC DIFFUSION, EFFECfIVE SHEAR AND PATCHINESS IN SHALLOW TIDAL FLOWS Ruben A. O. Box 20904, 2500 EX The Hague The Netherlands ABSTRACT. , oscillatory) flows with spatial inhomogeneities due to the bottom topography of the basin. The model velocity field we use is two-dimensional, incompressible, and periodic in space (Zimmerman, 1976, 1978). A very broad spectrum of possibilities is uncovered.
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Non-Linear Variability in Geophysics: Scaling and Fractals by Han-Ru Cho (auth.), D. Schertzer, S. Lovejoy (eds.)