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We show that the growth rate of dust grains in cold molecular clouds isenhanced by the high degree of compressibility of a turbulent, dilute gas. Bymeans of high resolution (10243) numerical simulations, we confirm the theorythat the spatial mean growth rate is proportional to the gas-density variance.This also results in broadening of the grain-size distribution (GSD) due toturbulence-induced variation of the grain-growth rate. We show, for the firsttime in a detailed numerical simulation of hydrodynamic turbulence, that theGSD evolves towards a shape which is a reflection of the gas-densitydistribution, regardless of the initial distribution. That is, in case ofisothermal, rotationally forced turbulence, the GSD tends to be a lognormaldistribution. We also show that in hypersonic turbulence, decoupling of gas anddust becomes important and that this leads to an even further accelerated graingrowth.

Dust growth by accretion of molecules in supersonic interstellar turbulence