Turbulent Diffusion of Lines and Circulations
Fluid Dynamics
2009-11-13 v1 Plasma Physics
Abstract
We study material lines and passive vectors in a model of turbulent flow at infinite-Reynolds number, the Kraichnan-Kazantsev ensemble of velocities that are white-noise in time and rough (Hoelder continuous) in space. It is argued that the phenomenon of ``spontaneous stochasticity'' generalizes to material lines and that conservation of circulations generalizes to a ``martingale property'' of the stochastic process of lines.
Cite
@article{arxiv.0704.0263,
title = {Turbulent Diffusion of Lines and Circulations},
author = {Gregory L. Eyink},
journal= {arXiv preprint arXiv:0704.0263},
year = {2009}
}
Comments
13 pages; no figures