Geometric properties of passive random advection
Geometric properties of a random Gaussian short-time correlated velocity field are studied by considering the statistics of a passively advected metric tensor. That describes the universal properties of the fluctuations of tensor objects frozen into the fluid and passively advected by it. The problem of the one-point statistics of covariant and contravariant tensors is solved exactly, provided that the advected fields do not reach diffusive scales, which would break the symmetry of the problem.
Boldyrev
SA
Princeton University, P.O. Box 451, Princeton, New Jersey 08543, USA.
Schekochihin
AA