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Turbulence can significantly accelerate the growth of dust grains byaccretion of molecules. For dust dynamically coupled to the gas, the growthrate scales with the square of the Mach number, which means that the growthtimescale can easily be reduced by more than an order of magnitude. Thelimiting timescale is therefore rather the rate of molecular cloud formation,which means that dust production in the ISM can rapidly reach the levels neededto explain the dust masses observed at high redshifts. Thus, turbulence may bethe solution to the replenishment problem in models of dust evolution inhigh-redshift galaxies and explain the dust masses seen at $z = 7 - 8$. Asimple analytic galactic dust-evolution model is presented, where grain growthnicely compensates for the expected higher rate of dust destruction bysupernova shocks. This model is simpler, relies on fewer assumptions and seemsto yields a better fit to data derived from observations, compared to previousmodels of the same type.

Galactic dust evolution with rapid dust formation in the interstellar medium due to hypersonic turbulence