Geometric properties of passive random advection

Details Geometric properties of passive random advection Geometric properties of passive random advection

Jul 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrve..62..545b&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 62, Issue 1, July 2000, p

Physics

10

Isotropic Turbulence, Homogeneous Turbulence, Stochastic Analysis Methods, Plasma Turbulence, Magnetohydrodynamics And Plasmas

Scientific paper

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.

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