Statistics of a vortex filament model

Details Statistics of a vortex filament model Statistics of a vortex filament model

2004-07-06

arxiv.org/abs/math/0407076v1

Mathematics

Probability

36 pages, no figures

Scientific paper

A random field composed by Poisson distributed Brownian vortex filaments is
constructed. The filament have a random thickness, length and intensity,
governed by a measure $\gamma$. Under appropriate assumptions on $\gamma$ we
compute the scaling law of the structure function and get the multifractal
scaling as a particular case.

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