Diffusion of a passive scalar in a rotating medium with anisotropic turbulence

We investigate the influence of turbulence anisotropy and rotation on the diffusion of a low-concentration passive scalar in a turbulent medium. Using the renormalization the diffusion tensor over the spectrum of turbulent fluctuations, we show that enhanced horizontal mixing reduces the vertical diffusion transport of a passive scalar. Allowance for rotation results in two effects, which have not been noted previously: (1) under the influence of Coriolis forces, horizontal turbulence also produces a vertical diffusion flux, with the horizontal and vertical diffusions being of the same order of magnitude for rapidly rotating stars and (2) in the case of rapid rotation, all diffusion fluxes of a passive scalar decrease in inverse proportion to the square root of the Coriolis number.