Abstract

We have calculated the coefficient of turbulent diffusion in a random flow with time restoration, describing the interstellar medium. Such a flow abruptly loses its memory at random times, forming a Poisson flow of events. The coefficient of turbulent diffusion in the flow is determined by the rms velocity and correlation time, as in mixing-length theory, but the numerical coefficient differs from that predicted by this theory. The closure equation derived by us for the transport of the mean concentration of a passive scalar takes a more complicated form than obtained in standard mean-field theory, but the main properties of the equation retain their validity. The possibility of extending the results of this exactly solved problem to the problem of transport in the turbulent interstellar medium is discussed.

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