Statistics of a vortex filament model
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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 . Under appropriate assumptions on we compute the scaling law of the structure function and get the multifractal scaling as a particular case.
Cite
@article{arxiv.math/0407076,
title = {Statistics of a vortex filament model},
author = {Franco Flandoli and Massimiliano Gubinelli},
journal= {arXiv preprint arXiv:math/0407076},
year = {2007}
}
Comments
36 pages, no figures