%0 Journal Article
%T Turbulent Diffusion of Lines and Circulations
%A Gregory L. Eyink
%J Physics
%D 2007
%I arXiv
%R 10.1016/j.physleta.2007.04.054
%X 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.
%U http://arxiv.org/abs/0704.0263v1