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DY: Dynamik und Statistische Physik

DY 46: POSTER II

DY 46.23: Poster

Donnerstag, 26. März 1998, 14:30–17:30, B

Multivariate statistics in turbulent cascade models — •J. Schmiegel¹, B. Jouault¹, and M. Greiner² — ¹Institut für Theoretische Physik, Technische Universität, Dresden — ²Max-Planck-Institut für Physik komplexer Systeme, Dresden

Binary random multiplicative branching processes have been used extensively to describe empirically the intermittent fluctuations occuring in the energy dissipation field of fully developed turbulence. The scale-dependent one-point statistics of these models reveals their multifractal character. We ask for the n-point statistics and this means correlation functions of arbitrary order. Those can be calculated from a multivariate generating function, for which an analytic expression is derived. Choosing the Haar-wavelet representation the second order correlation function becomes diagonal and also the higher order correlation functions are highly compressed; this shows that the Haar-wavelets are the adequate “coordinates” to describe binary random multiplicative cascade processes. As an example. the She-Leveque model is discussed.