Percolation transport in random flows with drift and time-dependence effects

This paper considers the influence of drift flow and time-dependence effects on the passive scalar behavior in the framework of the percolation approach. It is suggested to modify the renormalization condition of the small parameter of the percolation model in accordance with the additional external influences superimposed on the system. This approach makes it possible to consider simultaneously both parameters: the characteristic drift velocity Ud and the characteristic perturbation frequency ω. The effective diffusion coefficient Deff∝ω1/7 satisfactory describes the low-frequency region ω in which the long-range correlation effects play a significant role.