Statistics of a vortex filament model
classification
🧮 math.PR
math-phmath.MP
keywords
filamentgammarandomscalingvortexappropriateassumptionsbrownian
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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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