Large-scale properties of passive scalar advection
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
We consider statistics of the passive scalar on distances much larger than the pumping scale. Such statistics is determined by statistics of Lagrangian contraction that is by probabilities of initially distant fluid particles to come close. At the Batchelor limit of spatially smooth velocity, the breakdown of scale invariance is established for scalar statistics.
Keywords
Cite
@article{arxiv.chao-dyn/9901027,
title = {Large-scale properties of passive scalar advection},
author = {E. Balkovsky and G. Falkovich and V. Lebedev and M. Lysiansky},
journal= {arXiv preprint arXiv:chao-dyn/9901027},
year = {2009}
}
Comments
39 pages, to be published in Phys. of Fluids