We have calculated the coefficient of turbulent diffusion in a random flow
with time restoration, describing the interstellar medium. Such a flow abru
ptly loses its memory at random times, forming a Poisson flow of events. Th
e coefficient of turbulent diffusion in the flow is determined by the rms v
elocity and correlation time, as in mixing-length theory, but the numerical
coefficient differs from that predicted by this theory. The closure equati
on derived by us for the transport of the mean concentration of a passive s
calar takes a more complicated form than obtained in standard mean-field th
eory, but the main properties of the equation retain their validity. The po
ssibility of extending the results of this exactly solved problem to the pr
oblem of transport in the turbulent interstellar medium is discussed. (C) 2
000 MAIK "Nauka/Interperiodica".