Universal long-time properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem

Details Universal long-time properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem Universal long-time properties of Lagrangian statistics in the Batchelor regime and their application to the passive scalar problem

1999-05-13

arxiv.org/abs/chao-dyn/9905020v2

Phys.Rev. E, 60, 4164 (1999)

Nonlinear Sciences

Chaotic Dynamics

11 pages, revtex; added references, typos corrected

Scientific paper

10.1103/PhysRevE.60.4164

We consider transport of dynamically passive quantities in the Batchelor regime of smooth in space velocity field. For the case of arbitrary temporal correlations of the velocity we formulate the statistics of relevant characteristics of Lagrangian motion. This allows to generalize many results obtained previously for the delta-correlated in time strain, thus answering the question of universality of these results.

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